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Finding the Fourth Proportional to 113.15, 169.71 and 36.11

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Solution

The fourth proportional to 113.15, 169.71 and 36.11 is: 54.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.15 : 169.71 = 36.11 : x
  2. Step 2: Convert to fraction form
    113.15/169.71 = 36.11/x
  3. Step 3: Cross multiply
    113.15x = 169.71 × 36.11
  4. Step 4: Simplify right side
    113.15x = 6,128.23
  5. Step 5: Solve for x
    x = 6,128.23/113.15
  6. Step 6: Final answer
    x = 54.16

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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.