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Finding the Fourth Proportional to 90.75, 125.24 and 51.95

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Solution

The fourth proportional to 90.75, 125.24 and 51.95 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 125.24 = 51.95 : x
  2. Step 2: Convert to fraction form
    90.75/125.24 = 51.95/x
  3. Step 3: Cross multiply
    90.75x = 125.24 × 51.95
  4. Step 4: Simplify right side
    90.75x = 6,505.33
  5. Step 5: Solve for x
    x = 6,505.33/90.75
  6. Step 6: Final answer
    x = 71.68

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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.