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Finding the Fourth Proportional to 124.40, 180.20 and 124.40

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Solution

The fourth proportional to 124.40, 180.20 and 124.40 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 180.20 = 124.40 : x
  2. Step 2: Convert to fraction form
    124.40/180.20 = 124.40/x
  3. Step 3: Cross multiply
    124.40x = 180.20 × 124.40
  4. Step 4: Simplify right side
    124.40x = 22,416.88
  5. Step 5: Solve for x
    x = 22,416.88/124.40
  6. Step 6: Final answer
    x = 180.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.