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Finding the Fourth Proportional to 91.29, 126 and 54.47

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Solution

The fourth proportional to 91.29, 126 and 54.47 is: 75.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.29 : 126 = 54.47 : x
  2. Step 2: Convert to fraction form
    91.29/126 = 54.47/x
  3. Step 3: Cross multiply
    91.29x = 126 × 54.47
  4. Step 4: Simplify right side
    91.29x = 6,863.22
  5. Step 5: Solve for x
    x = 6,863.22/91.29
  6. Step 6: Final answer
    x = 75.18

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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.