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Finding the Fourth Proportional to 111.50, 153.66 and 102.78

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Solution

The fourth proportional to 111.50, 153.66 and 102.78 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 153.66 = 102.78 : x
  2. Step 2: Convert to fraction form
    111.50/153.66 = 102.78/x
  3. Step 3: Cross multiply
    111.50x = 153.66 × 102.78
  4. Step 4: Simplify right side
    111.50x = 15,793.17
  5. Step 5: Solve for x
    x = 15,793.17/111.50
  6. Step 6: Final answer
    x = 141.64

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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.