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Finding the Fourth Proportional to 71.54, 107.42 and 64.71

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Solution

The fourth proportional to 71.54, 107.42 and 64.71 is: 97.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.54 : 107.42 = 64.71 : x
  2. Step 2: Convert to fraction form
    71.54/107.42 = 64.71/x
  3. Step 3: Cross multiply
    71.54x = 107.42 × 64.71
  4. Step 4: Simplify right side
    71.54x = 6,950.82
  5. Step 5: Solve for x
    x = 6,950.82/71.54
  6. Step 6: Final answer
    x = 97.17

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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.