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Finding the Fourth Proportional to 111.60, 167.20 and 97.78

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Solution

The fourth proportional to 111.60, 167.20 and 97.78 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 167.20 = 97.78 : x
  2. Step 2: Convert to fraction form
    111.60/167.20 = 97.78/x
  3. Step 3: Cross multiply
    111.60x = 167.20 × 97.78
  4. Step 4: Simplify right side
    111.60x = 16,348.82
  5. Step 5: Solve for x
    x = 16,348.82/111.60
  6. Step 6: Final answer
    x = 146.49

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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.