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Finding the Fourth Proportional to 113.01, 168.15 and 112.74

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Solution

The fourth proportional to 113.01, 168.15 and 112.74 is: 167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.01 : 168.15 = 112.74 : x
  2. Step 2: Convert to fraction form
    113.01/168.15 = 112.74/x
  3. Step 3: Cross multiply
    113.01x = 168.15 × 112.74
  4. Step 4: Simplify right side
    113.01x = 18,957.23
  5. Step 5: Solve for x
    x = 18,957.23/113.01
  6. Step 6: Final answer
    x = 167.75

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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.