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Finding the Fourth Proportional to 169.76, 254.81 and 88.65

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Solution

The fourth proportional to 169.76, 254.81 and 88.65 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 254.81 = 88.65 : x
  2. Step 2: Convert to fraction form
    169.76/254.81 = 88.65/x
  3. Step 3: Cross multiply
    169.76x = 254.81 × 88.65
  4. Step 4: Simplify right side
    169.76x = 22,588.46
  5. Step 5: Solve for x
    x = 22,588.46/169.76
  6. Step 6: Final answer
    x = 133.07

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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.