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Finding the Fourth Proportional to 72.77, 100.35 and 53.06

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Solution

The fourth proportional to 72.77, 100.35 and 53.06 is: 73.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.77 : 100.35 = 53.06 : x
  2. Step 2: Convert to fraction form
    72.77/100.35 = 53.06/x
  3. Step 3: Cross multiply
    72.77x = 100.35 × 53.06
  4. Step 4: Simplify right side
    72.77x = 5,324.07
  5. Step 5: Solve for x
    x = 5,324.07/72.77
  6. Step 6: Final answer
    x = 73.17

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Find fourth proportional to 36.38, 50.18 and 26.53
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.