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Finding the Fourth Proportional to 90.49, 124.91 and 57.83

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Solution

The fourth proportional to 90.49, 124.91 and 57.83 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.49 : 124.91 = 57.83 : x
  2. Step 2: Convert to fraction form
    90.49/124.91 = 57.83/x
  3. Step 3: Cross multiply
    90.49x = 124.91 × 57.83
  4. Step 4: Simplify right side
    90.49x = 7,223.26
  5. Step 5: Solve for x
    x = 7,223.26/90.49
  6. Step 6: Final answer
    x = 79.82

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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.