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Finding the Fourth Proportional to 67.59, 100.65 and 65.70

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Solution

The fourth proportional to 67.59, 100.65 and 65.70 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.59 : 100.65 = 65.70 : x
  2. Step 2: Convert to fraction form
    67.59/100.65 = 65.70/x
  3. Step 3: Cross multiply
    67.59x = 100.65 × 65.70
  4. Step 4: Simplify right side
    67.59x = 6,612.71
  5. Step 5: Solve for x
    x = 6,612.71/67.59
  6. Step 6: Final answer
    x = 97.84

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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.