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Finding the Fourth Proportional to 71.53, 107.24 and 35.49

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Solution

The fourth proportional to 71.53, 107.24 and 35.49 is: 53.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 107.24 = 35.49 : x
  2. Step 2: Convert to fraction form
    71.53/107.24 = 35.49/x
  3. Step 3: Cross multiply
    71.53x = 107.24 × 35.49
  4. Step 4: Simplify right side
    71.53x = 3,805.77
  5. Step 5: Solve for x
    x = 3,805.77/71.53
  6. Step 6: Final answer
    x = 53.20

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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.