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Finding the Fourth Proportional to 71.74, 106.97 and 63.64

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Solution

The fourth proportional to 71.74, 106.97 and 63.64 is: 94.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 106.97 = 63.64 : x
  2. Step 2: Convert to fraction form
    71.74/106.97 = 63.64/x
  3. Step 3: Cross multiply
    71.74x = 106.97 × 63.64
  4. Step 4: Simplify right side
    71.74x = 6,807.57
  5. Step 5: Solve for x
    x = 6,807.57/71.74
  6. Step 6: Final answer
    x = 94.89

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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.