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Finding the Fourth Proportional to 91.26, 125.74 and 74.85

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Solution

The fourth proportional to 91.26, 125.74 and 74.85 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.74 = 74.85 : x
  2. Step 2: Convert to fraction form
    91.26/125.74 = 74.85/x
  3. Step 3: Cross multiply
    91.26x = 125.74 × 74.85
  4. Step 4: Simplify right side
    91.26x = 9,411.64
  5. Step 5: Solve for x
    x = 9,411.64/91.26
  6. Step 6: Final answer
    x = 103.13

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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.