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Finding the Fourth Proportional to 122.46, 169.20 and 106.08

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Solution

The fourth proportional to 122.46, 169.20 and 106.08 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 169.20 = 106.08 : x
  2. Step 2: Convert to fraction form
    122.46/169.20 = 106.08/x
  3. Step 3: Cross multiply
    122.46x = 169.20 × 106.08
  4. Step 4: Simplify right side
    122.46x = 17,948.74
  5. Step 5: Solve for x
    x = 17,948.74/122.46
  6. Step 6: Final answer
    x = 146.57

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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.