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Finding the Fourth Proportional to 100.77, 151.12 and 36.63

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Solution

The fourth proportional to 100.77, 151.12 and 36.63 is: 54.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 151.12 = 36.63 : x
  2. Step 2: Convert to fraction form
    100.77/151.12 = 36.63/x
  3. Step 3: Cross multiply
    100.77x = 151.12 × 36.63
  4. Step 4: Simplify right side
    100.77x = 5,534.68
  5. Step 5: Solve for x
    x = 5,534.68/100.77
  6. Step 6: Final answer
    x = 54.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.