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Finding the Fourth Proportional to 169.31, 253.96 and 47.59

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Solution

The fourth proportional to 169.31, 253.96 and 47.59 is: 71.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 253.96 = 47.59 : x
  2. Step 2: Convert to fraction form
    169.31/253.96 = 47.59/x
  3. Step 3: Cross multiply
    169.31x = 253.96 × 47.59
  4. Step 4: Simplify right side
    169.31x = 12,085.20
  5. Step 5: Solve for x
    x = 12,085.20/169.31
  6. Step 6: Final answer
    x = 71.38

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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.