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Finding the Fourth Proportional to 91.14, 136.53 and 82.14

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Solution

The fourth proportional to 91.14, 136.53 and 82.14 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.14 : 136.53 = 82.14 : x
  2. Step 2: Convert to fraction form
    91.14/136.53 = 82.14/x
  3. Step 3: Cross multiply
    91.14x = 136.53 × 82.14
  4. Step 4: Simplify right side
    91.14x = 11,214.57
  5. Step 5: Solve for x
    x = 11,214.57/91.14
  6. Step 6: Final answer
    x = 123.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.