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Finding the Fourth Proportional to 109.53, 151.04 and 82.85

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Solution

The fourth proportional to 109.53, 151.04 and 82.85 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 151.04 = 82.85 : x
  2. Step 2: Convert to fraction form
    109.53/151.04 = 82.85/x
  3. Step 3: Cross multiply
    109.53x = 151.04 × 82.85
  4. Step 4: Simplify right side
    109.53x = 12,512.49
  5. Step 5: Solve for x
    x = 12,512.49/109.53
  6. Step 6: Final answer
    x = 114.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.