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Finding the Fourth Proportional to 118.10, 176.97 and 49.61

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Solution

The fourth proportional to 118.10, 176.97 and 49.61 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 176.97 = 49.61 : x
  2. Step 2: Convert to fraction form
    118.10/176.97 = 49.61/x
  3. Step 3: Cross multiply
    118.10x = 176.97 × 49.61
  4. Step 4: Simplify right side
    118.10x = 8,779.48
  5. Step 5: Solve for x
    x = 8,779.48/118.10
  6. Step 6: Final answer
    x = 74.34

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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.