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Finding the Fourth Proportional to 109.30, 150.74 and 82.61

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Solution

The fourth proportional to 109.30, 150.74 and 82.61 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 150.74 = 82.61 : x
  2. Step 2: Convert to fraction form
    109.30/150.74 = 82.61/x
  3. Step 3: Cross multiply
    109.30x = 150.74 × 82.61
  4. Step 4: Simplify right side
    109.30x = 12,452.63
  5. Step 5: Solve for x
    x = 12,452.63/109.30
  6. Step 6: Final answer
    x = 113.93

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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.