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Finding the Fourth Proportional to 110.70, 153.15 and 108.30

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Solution

The fourth proportional to 110.70, 153.15 and 108.30 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 153.15 = 108.30 : x
  2. Step 2: Convert to fraction form
    110.70/153.15 = 108.30/x
  3. Step 3: Cross multiply
    110.70x = 153.15 × 108.30
  4. Step 4: Simplify right side
    110.70x = 16,586.15
  5. Step 5: Solve for x
    x = 16,586.15/110.70
  6. Step 6: Final answer
    x = 149.83

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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.