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Finding the Fourth Proportional to 169.48, 254.24 and 47.76

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Solution

The fourth proportional to 169.48, 254.24 and 47.76 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.48 : 254.24 = 47.76 : x
  2. Step 2: Convert to fraction form
    169.48/254.24 = 47.76/x
  3. Step 3: Cross multiply
    169.48x = 254.24 × 47.76
  4. Step 4: Simplify right side
    169.48x = 12,142.50
  5. Step 5: Solve for x
    x = 12,142.50/169.48
  6. Step 6: Final answer
    x = 71.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.