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Finding the Fourth Proportional to 136.80, 188.16 and 102.24

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Solution

The fourth proportional to 136.80, 188.16 and 102.24 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 188.16 = 102.24 : x
  2. Step 2: Convert to fraction form
    136.80/188.16 = 102.24/x
  3. Step 3: Cross multiply
    136.80x = 188.16 × 102.24
  4. Step 4: Simplify right side
    136.80x = 19,237.48
  5. Step 5: Solve for x
    x = 19,237.48/136.80
  6. Step 6: Final answer
    x = 140.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.