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Finding the Fourth Proportional to 91.50, 126.18 and 67.02

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Solution

The fourth proportional to 91.50, 126.18 and 67.02 is: 92.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.50 : 126.18 = 67.02 : x
  2. Step 2: Convert to fraction form
    91.50/126.18 = 67.02/x
  3. Step 3: Cross multiply
    91.50x = 126.18 × 67.02
  4. Step 4: Simplify right side
    91.50x = 8,456.58
  5. Step 5: Solve for x
    x = 8,456.58/91.50
  6. Step 6: Final answer
    x = 92.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.