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Finding the Fourth Proportional to 124.80, 186.04 and 119.04

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Solution

The fourth proportional to 124.80, 186.04 and 119.04 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 186.04 = 119.04 : x
  2. Step 2: Convert to fraction form
    124.80/186.04 = 119.04/x
  3. Step 3: Cross multiply
    124.80x = 186.04 × 119.04
  4. Step 4: Simplify right side
    124.80x = 22,146.20
  5. Step 5: Solve for x
    x = 22,146.20/124.80
  6. Step 6: Final answer
    x = 177.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.