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Finding the Fourth Proportional to 110.45, 152.10 and 82.78

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Solution

The fourth proportional to 110.45, 152.10 and 82.78 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.45 : 152.10 = 82.78 : x
  2. Step 2: Convert to fraction form
    110.45/152.10 = 82.78/x
  3. Step 3: Cross multiply
    110.45x = 152.10 × 82.78
  4. Step 4: Simplify right side
    110.45x = 12,590.46
  5. Step 5: Solve for x
    x = 12,590.46/110.45
  6. Step 6: Final answer
    x = 113.99

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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.