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Finding the Fourth Proportional to 110.46, 152.06 and 82.78

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Solution

The fourth proportional to 110.46, 152.06 and 82.78 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.46 : 152.06 = 82.78 : x
  2. Step 2: Convert to fraction form
    110.46/152.06 = 82.78/x
  3. Step 3: Cross multiply
    110.46x = 152.06 × 82.78
  4. Step 4: Simplify right side
    110.46x = 12,588.14
  5. Step 5: Solve for x
    x = 12,588.14/110.46
  6. Step 6: Final answer
    x = 113.96

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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.