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Finding the Fourth Proportional to 90.74, 124.97 and 85.79

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Solution

The fourth proportional to 90.74, 124.97 and 85.79 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.74 : 124.97 = 85.79 : x
  2. Step 2: Convert to fraction form
    90.74/124.97 = 85.79/x
  3. Step 3: Cross multiply
    90.74x = 124.97 × 85.79
  4. Step 4: Simplify right side
    90.74x = 10,720.12
  5. Step 5: Solve for x
    x = 10,720.12/90.74
  6. Step 6: Final answer
    x = 118.15

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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.