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Finding the Fourth Proportional to 91.32, 125.87 and 75.82

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Solution

The fourth proportional to 91.32, 125.87 and 75.82 is: 104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 125.87 = 75.82 : x
  2. Step 2: Convert to fraction form
    91.32/125.87 = 75.82/x
  3. Step 3: Cross multiply
    91.32x = 125.87 × 75.82
  4. Step 4: Simplify right side
    91.32x = 9,543.46
  5. Step 5: Solve for x
    x = 9,543.46/91.32
  6. Step 6: Final answer
    x = 104.51

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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.