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Finding the Fourth Proportional to 71.81, 107.25 and 55.55

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Solution

The fourth proportional to 71.81, 107.25 and 55.55 is: 82.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.81 : 107.25 = 55.55 : x
  2. Step 2: Convert to fraction form
    71.81/107.25 = 55.55/x
  3. Step 3: Cross multiply
    71.81x = 107.25 × 55.55
  4. Step 4: Simplify right side
    71.81x = 5,957.20
  5. Step 5: Solve for x
    x = 5,957.20/71.81
  6. Step 6: Final answer
    x = 82.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.