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Finding the Fourth Proportional to 67.10, 99.97 and 64.66

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Solution

The fourth proportional to 67.10, 99.97 and 64.66 is: 96.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.10 : 99.97 = 64.66 : x
  2. Step 2: Convert to fraction form
    67.10/99.97 = 64.66/x
  3. Step 3: Cross multiply
    67.10x = 99.97 × 64.66
  4. Step 4: Simplify right side
    67.10x = 6,463.24
  5. Step 5: Solve for x
    x = 6,463.24/67.10
  6. Step 6: Final answer
    x = 96.32

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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.