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Finding the Fourth Proportional to 111.60, 167.12 and 106.40

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Solution

The fourth proportional to 111.60, 167.12 and 106.40 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 167.12 = 106.40 : x
  2. Step 2: Convert to fraction form
    111.60/167.12 = 106.40/x
  3. Step 3: Cross multiply
    111.60x = 167.12 × 106.40
  4. Step 4: Simplify right side
    111.60x = 17,781.57
  5. Step 5: Solve for x
    x = 17,781.57/111.60
  6. Step 6: Final answer
    x = 159.33

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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.