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Finding the Fourth Proportional to 71.52, 106.73 and 63.42

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Solution

The fourth proportional to 71.52, 106.73 and 63.42 is: 94.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 106.73 = 63.42 : x
  2. Step 2: Convert to fraction form
    71.52/106.73 = 63.42/x
  3. Step 3: Cross multiply
    71.52x = 106.73 × 63.42
  4. Step 4: Simplify right side
    71.52x = 6,768.50
  5. Step 5: Solve for x
    x = 6,768.50/71.52
  6. Step 6: Final answer
    x = 94.64

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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.