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Finding the Fourth Proportional to 91.13, 125.69 and 71.46

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Solution

The fourth proportional to 91.13, 125.69 and 71.46 is: 98.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 125.69 = 71.46 : x
  2. Step 2: Convert to fraction form
    91.13/125.69 = 71.46/x
  3. Step 3: Cross multiply
    91.13x = 125.69 × 71.46
  4. Step 4: Simplify right side
    91.13x = 8,981.45
  5. Step 5: Solve for x
    x = 8,981.45/91.13
  6. Step 6: Final answer
    x = 98.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.