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Finding the Fourth Proportional to 113.07, 169.55 and 36.04

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Solution

The fourth proportional to 113.07, 169.55 and 36.04 is: 54.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 169.55 = 36.04 : x
  2. Step 2: Convert to fraction form
    113.07/169.55 = 36.04/x
  3. Step 3: Cross multiply
    113.07x = 169.55 × 36.04
  4. Step 4: Simplify right side
    113.07x = 6,110.58
  5. Step 5: Solve for x
    x = 6,110.58/113.07
  6. Step 6: Final answer
    x = 54.04

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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.