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Finding the Fourth Proportional to 91.49, 126.26 and 52.15

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Solution

The fourth proportional to 91.49, 126.26 and 52.15 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 126.26 = 52.15 : x
  2. Step 2: Convert to fraction form
    91.49/126.26 = 52.15/x
  3. Step 3: Cross multiply
    91.49x = 126.26 × 52.15
  4. Step 4: Simplify right side
    91.49x = 6,584.46
  5. Step 5: Solve for x
    x = 6,584.46/91.49
  6. Step 6: Final answer
    x = 71.97

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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.