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Finding the Fourth Proportional to 67.08, 100.14 and 64.13

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Solution

The fourth proportional to 67.08, 100.14 and 64.13 is: 95.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.08 : 100.14 = 64.13 : x
  2. Step 2: Convert to fraction form
    67.08/100.14 = 64.13/x
  3. Step 3: Cross multiply
    67.08x = 100.14 × 64.13
  4. Step 4: Simplify right side
    67.08x = 6,421.16
  5. Step 5: Solve for x
    x = 6,421.16/67.08
  6. Step 6: Final answer
    x = 95.72

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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.