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Finding the Fourth Proportional to 118, 175.93 and 113.44

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Solution

The fourth proportional to 118, 175.93 and 113.44 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 175.93 = 113.44 : x
  2. Step 2: Convert to fraction form
    118/175.93 = 113.44/x
  3. Step 3: Cross multiply
    118x = 175.93 × 113.44
  4. Step 4: Simplify right side
    118x = 19,957.50
  5. Step 5: Solve for x
    x = 19,957.50/118
  6. Step 6: Final answer
    x = 169.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.