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Finding the Fourth Proportional to 91.16, 125.79 and 58.42

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Solution

The fourth proportional to 91.16, 125.79 and 58.42 is: 80.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 125.79 = 58.42 : x
  2. Step 2: Convert to fraction form
    91.16/125.79 = 58.42/x
  3. Step 3: Cross multiply
    91.16x = 125.79 × 58.42
  4. Step 4: Simplify right side
    91.16x = 7,348.59
  5. Step 5: Solve for x
    x = 7,348.59/91.16
  6. Step 6: Final answer
    x = 80.61

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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.