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Finding the Fourth Proportional to 67.68, 101.01 and 61.59

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Solution

The fourth proportional to 67.68, 101.01 and 61.59 is: 91.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 101.01 = 61.59 : x
  2. Step 2: Convert to fraction form
    67.68/101.01 = 61.59/x
  3. Step 3: Cross multiply
    67.68x = 101.01 × 61.59
  4. Step 4: Simplify right side
    67.68x = 6,221.21
  5. Step 5: Solve for x
    x = 6,221.21/67.68
  6. Step 6: Final answer
    x = 91.92

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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.