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Finding the Fourth Proportional to 149.52, 205.96 and 116.76

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Solution

The fourth proportional to 149.52, 205.96 and 116.76 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 205.96 = 116.76 : x
  2. Step 2: Convert to fraction form
    149.52/205.96 = 116.76/x
  3. Step 3: Cross multiply
    149.52x = 205.96 × 116.76
  4. Step 4: Simplify right side
    149.52x = 24,047.89
  5. Step 5: Solve for x
    x = 24,047.89/149.52
  6. Step 6: Final answer
    x = 160.83

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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.