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Finding the Fourth Proportional to 113.54, 169.19 and 112.59

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Solution

The fourth proportional to 113.54, 169.19 and 112.59 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.54 : 169.19 = 112.59 : x
  2. Step 2: Convert to fraction form
    113.54/169.19 = 112.59/x
  3. Step 3: Cross multiply
    113.54x = 169.19 × 112.59
  4. Step 4: Simplify right side
    113.54x = 19,048.54
  5. Step 5: Solve for x
    x = 19,048.54/113.54
  6. Step 6: Final answer
    x = 167.77

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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.