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Finding the Fourth Proportional to 91.29, 125.93 and 75.66

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Solution

The fourth proportional to 91.29, 125.93 and 75.66 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.29 : 125.93 = 75.66 : x
  2. Step 2: Convert to fraction form
    91.29/125.93 = 75.66/x
  3. Step 3: Cross multiply
    91.29x = 125.93 × 75.66
  4. Step 4: Simplify right side
    91.29x = 9,527.86
  5. Step 5: Solve for x
    x = 9,527.86/91.29
  6. Step 6: Final answer
    x = 104.37

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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.