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Finding the Fourth Proportional to 67.50, 101.71 and 64.47

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Solution

The fourth proportional to 67.50, 101.71 and 64.47 is: 97.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 101.71 = 64.47 : x
  2. Step 2: Convert to fraction form
    67.50/101.71 = 64.47/x
  3. Step 3: Cross multiply
    67.50x = 101.71 × 64.47
  4. Step 4: Simplify right side
    67.50x = 6,557.24
  5. Step 5: Solve for x
    x = 6,557.24/67.50
  6. Step 6: Final answer
    x = 97.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.