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Finding the Fourth Proportional to 109.18, 163.86 and 57.85

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Solution

The fourth proportional to 109.18, 163.86 and 57.85 is: 86.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.18 : 163.86 = 57.85 : x
  2. Step 2: Convert to fraction form
    109.18/163.86 = 57.85/x
  3. Step 3: Cross multiply
    109.18x = 163.86 × 57.85
  4. Step 4: Simplify right side
    109.18x = 9,478.67
  5. Step 5: Solve for x
    x = 9,478.67/109.18
  6. Step 6: Final answer
    x = 86.82

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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.