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Finding the Fourth Proportional to 147.96, 221.52 and 99.78

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Solution

The fourth proportional to 147.96, 221.52 and 99.78 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 221.52 = 99.78 : x
  2. Step 2: Convert to fraction form
    147.96/221.52 = 99.78/x
  3. Step 3: Cross multiply
    147.96x = 221.52 × 99.78
  4. Step 4: Simplify right side
    147.96x = 22,103.27
  5. Step 5: Solve for x
    x = 22,103.27/147.96
  6. Step 6: Final answer
    x = 149.39

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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.