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Finding the Fourth Proportional to 123.70, 170.92 and 88.67

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Solution

The fourth proportional to 123.70, 170.92 and 88.67 is: 122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.70 : 170.92 = 88.67 : x
  2. Step 2: Convert to fraction form
    123.70/170.92 = 88.67/x
  3. Step 3: Cross multiply
    123.70x = 170.92 × 88.67
  4. Step 4: Simplify right side
    123.70x = 15,154.73
  5. Step 5: Solve for x
    x = 15,154.73/123.70
  6. Step 6: Final answer
    x = 122.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.