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Finding the Fourth Proportional to 113.58, 169.13 and 112.21

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Solution

The fourth proportional to 113.58, 169.13 and 112.21 is: 167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.58 : 169.13 = 112.21 : x
  2. Step 2: Convert to fraction form
    113.58/169.13 = 112.21/x
  3. Step 3: Cross multiply
    113.58x = 169.13 × 112.21
  4. Step 4: Simplify right side
    113.58x = 18,978.08
  5. Step 5: Solve for x
    x = 18,978.08/113.58
  6. Step 6: Final answer
    x = 167.09

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