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Finding the Fourth Proportional to 71.07, 106.35 and 67.59

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Solution

The fourth proportional to 71.07, 106.35 and 67.59 is: 101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 106.35 = 67.59 : x
  2. Step 2: Convert to fraction form
    71.07/106.35 = 67.59/x
  3. Step 3: Cross multiply
    71.07x = 106.35 × 67.59
  4. Step 4: Simplify right side
    71.07x = 7,188.20
  5. Step 5: Solve for x
    x = 7,188.20/71.07
  6. Step 6: Final answer
    x = 101.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.