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Finding the Fourth Proportional to 111.78, 167.70 and 99.78

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Solution

The fourth proportional to 111.78, 167.70 and 99.78 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 167.70 = 99.78 : x
  2. Step 2: Convert to fraction form
    111.78/167.70 = 99.78/x
  3. Step 3: Cross multiply
    111.78x = 167.70 × 99.78
  4. Step 4: Simplify right side
    111.78x = 16,733.11
  5. Step 5: Solve for x
    x = 16,733.11/111.78
  6. Step 6: Final answer
    x = 149.70

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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.