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Finding the Fourth Proportional to 113.18, 169.65 and 55.35

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Solution

The fourth proportional to 113.18, 169.65 and 55.35 is: 82.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 169.65 = 55.35 : x
  2. Step 2: Convert to fraction form
    113.18/169.65 = 55.35/x
  3. Step 3: Cross multiply
    113.18x = 169.65 × 55.35
  4. Step 4: Simplify right side
    113.18x = 9,390.13
  5. Step 5: Solve for x
    x = 9,390.13/113.18
  6. Step 6: Final answer
    x = 82.97

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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.