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Finding the Fourth Proportional to 124.85, 186.82 and 110.30

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Solution

The fourth proportional to 124.85, 186.82 and 110.30 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.85 : 186.82 = 110.30 : x
  2. Step 2: Convert to fraction form
    124.85/186.82 = 110.30/x
  3. Step 3: Cross multiply
    124.85x = 186.82 × 110.30
  4. Step 4: Simplify right side
    124.85x = 20,605.04
  5. Step 5: Solve for x
    x = 20,605.04/124.85
  6. Step 6: Final answer
    x = 165.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.