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Finding the Fourth Proportional to 91.29, 126.08 and 83.49

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Solution

The fourth proportional to 91.29, 126.08 and 83.49 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.29 : 126.08 = 83.49 : x
  2. Step 2: Convert to fraction form
    91.29/126.08 = 83.49/x
  3. Step 3: Cross multiply
    91.29x = 126.08 × 83.49
  4. Step 4: Simplify right side
    91.29x = 10,526.00
  5. Step 5: Solve for x
    x = 10,526.00/91.29
  6. Step 6: Final answer
    x = 115.30

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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.