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Finding the Fourth Proportional to 90.38, 124.62 and 83.90

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Solution

The fourth proportional to 90.38, 124.62 and 83.90 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.38 : 124.62 = 83.90 : x
  2. Step 2: Convert to fraction form
    90.38/124.62 = 83.90/x
  3. Step 3: Cross multiply
    90.38x = 124.62 × 83.90
  4. Step 4: Simplify right side
    90.38x = 10,455.62
  5. Step 5: Solve for x
    x = 10,455.62/90.38
  6. Step 6: Final answer
    x = 115.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.