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Finding the Fourth Proportional to 170.08, 254.76 and 88.67

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Solution

The fourth proportional to 170.08, 254.76 and 88.67 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.08 : 254.76 = 88.67 : x
  2. Step 2: Convert to fraction form
    170.08/254.76 = 88.67/x
  3. Step 3: Cross multiply
    170.08x = 254.76 × 88.67
  4. Step 4: Simplify right side
    170.08x = 22,589.57
  5. Step 5: Solve for x
    x = 22,589.57/170.08
  6. Step 6: Final answer
    x = 132.82

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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.