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Finding the Fourth Proportional to 90.13, 135.20 and 54.13

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Solution

The fourth proportional to 90.13, 135.20 and 54.13 is: 81.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.13 : 135.20 = 54.13 : x
  2. Step 2: Convert to fraction form
    90.13/135.20 = 54.13/x
  3. Step 3: Cross multiply
    90.13x = 135.20 × 54.13
  4. Step 4: Simplify right side
    90.13x = 7,318.38
  5. Step 5: Solve for x
    x = 7,318.38/90.13
  6. Step 6: Final answer
    x = 81.20

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Why These Related Problems?

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