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Finding the Fourth Proportional to 91.46, 137.68 and 81.89

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Solution

The fourth proportional to 91.46, 137.68 and 81.89 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 137.68 = 81.89 : x
  2. Step 2: Convert to fraction form
    91.46/137.68 = 81.89/x
  3. Step 3: Cross multiply
    91.46x = 137.68 × 81.89
  4. Step 4: Simplify right side
    91.46x = 11,274.21
  5. Step 5: Solve for x
    x = 11,274.21/91.46
  6. Step 6: Final answer
    x = 123.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.