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Finding the Fourth Proportional to 90.38, 134.93 and 82.49

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Solution

The fourth proportional to 90.38, 134.93 and 82.49 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.38 : 134.93 = 82.49 : x
  2. Step 2: Convert to fraction form
    90.38/134.93 = 82.49/x
  3. Step 3: Cross multiply
    90.38x = 134.93 × 82.49
  4. Step 4: Simplify right side
    90.38x = 11,129.91
  5. Step 5: Solve for x
    x = 11,129.91/90.38
  6. Step 6: Final answer
    x = 123.14

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Why These Related Problems?

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