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Finding the Fourth Proportional to 90.27, 135.30 and 82.17

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Solution

The fourth proportional to 90.27, 135.30 and 82.17 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.27 : 135.30 = 82.17 : x
  2. Step 2: Convert to fraction form
    90.27/135.30 = 82.17/x
  3. Step 3: Cross multiply
    90.27x = 135.30 × 82.17
  4. Step 4: Simplify right side
    90.27x = 11,117.60
  5. Step 5: Solve for x
    x = 11,117.60/90.27
  6. Step 6: Final answer
    x = 123.16

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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.