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Finding the Fourth Proportional to 91.13, 135.78 and 84.14

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Solution

The fourth proportional to 91.13, 135.78 and 84.14 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 135.78 = 84.14 : x
  2. Step 2: Convert to fraction form
    91.13/135.78 = 84.14/x
  3. Step 3: Cross multiply
    91.13x = 135.78 × 84.14
  4. Step 4: Simplify right side
    91.13x = 11,424.04
  5. Step 5: Solve for x
    x = 11,424.04/91.13
  6. Step 6: Final answer
    x = 125.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.