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Finding the Fourth Proportional to 169.60, 254.51 and 88.50

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Solution

The fourth proportional to 169.60, 254.51 and 88.50 is: 132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.60 : 254.51 = 88.50 : x
  2. Step 2: Convert to fraction form
    169.60/254.51 = 88.50/x
  3. Step 3: Cross multiply
    169.60x = 254.51 × 88.50
  4. Step 4: Simplify right side
    169.60x = 22,524.14
  5. Step 5: Solve for x
    x = 22,524.14/169.60
  6. Step 6: Final answer
    x = 132.81

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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.