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Finding the Fourth Proportional to 169.75, 254.40 and 87.52

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Solution

The fourth proportional to 169.75, 254.40 and 87.52 is: 131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 254.40 = 87.52 : x
  2. Step 2: Convert to fraction form
    169.75/254.40 = 87.52/x
  3. Step 3: Cross multiply
    169.75x = 254.40 × 87.52
  4. Step 4: Simplify right side
    169.75x = 22,265.09
  5. Step 5: Solve for x
    x = 22,265.09/169.75
  6. Step 6: Final answer
    x = 131.16

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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.