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Finding the Fourth Proportional to 110.08, 151.78 and 82.40

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Solution

The fourth proportional to 110.08, 151.78 and 82.40 is: 113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.08 : 151.78 = 82.40 : x
  2. Step 2: Convert to fraction form
    110.08/151.78 = 82.40/x
  3. Step 3: Cross multiply
    110.08x = 151.78 × 82.40
  4. Step 4: Simplify right side
    110.08x = 12,506.67
  5. Step 5: Solve for x
    x = 12,506.67/110.08
  6. Step 6: Final answer
    x = 113.61

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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.