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Finding the Fourth Proportional to 90.76, 125.24 and 51.92

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Solution

The fourth proportional to 90.76, 125.24 and 51.92 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.76 : 125.24 = 51.92 : x
  2. Step 2: Convert to fraction form
    90.76/125.24 = 51.92/x
  3. Step 3: Cross multiply
    90.76x = 125.24 × 51.92
  4. Step 4: Simplify right side
    90.76x = 6,502.46
  5. Step 5: Solve for x
    x = 6,502.46/90.76
  6. Step 6: Final answer
    x = 71.64

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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.