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Finding the Fourth Proportional to 81.06, 111.77 and 52.98

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Solution

The fourth proportional to 81.06, 111.77 and 52.98 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.06 : 111.77 = 52.98 : x
  2. Step 2: Convert to fraction form
    81.06/111.77 = 52.98/x
  3. Step 3: Cross multiply
    81.06x = 111.77 × 52.98
  4. Step 4: Simplify right side
    81.06x = 5,921.09
  5. Step 5: Solve for x
    x = 5,921.09/81.06
  6. Step 6: Final answer
    x = 73.05

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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.