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Finding the Fourth Proportional to 124.04, 185.70 and 111.80

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Solution

The fourth proportional to 124.04, 185.70 and 111.80 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.04 : 185.70 = 111.80 : x
  2. Step 2: Convert to fraction form
    124.04/185.70 = 111.80/x
  3. Step 3: Cross multiply
    124.04x = 185.70 × 111.80
  4. Step 4: Simplify right side
    124.04x = 20,761.26
  5. Step 5: Solve for x
    x = 20,761.26/124.04
  6. Step 6: Final answer
    x = 167.38

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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.