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Finding the Fourth Proportional to 91.34, 126 and 85.27

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Solution

The fourth proportional to 91.34, 126 and 85.27 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.34 : 126 = 85.27 : x
  2. Step 2: Convert to fraction form
    91.34/126 = 85.27/x
  3. Step 3: Cross multiply
    91.34x = 126 × 85.27
  4. Step 4: Simplify right side
    91.34x = 10,744.02
  5. Step 5: Solve for x
    x = 10,744.02/91.34
  6. Step 6: Final answer
    x = 117.63

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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.