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Finding the Fourth Proportional to 136.80, 205.20 and 106.20

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Solution

The fourth proportional to 136.80, 205.20 and 106.20 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 205.20 = 106.20 : x
  2. Step 2: Convert to fraction form
    136.80/205.20 = 106.20/x
  3. Step 3: Cross multiply
    136.80x = 205.20 × 106.20
  4. Step 4: Simplify right side
    136.80x = 21,792.24
  5. Step 5: Solve for x
    x = 21,792.24/136.80
  6. Step 6: Final answer
    x = 159.30

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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.