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Finding the Fourth Proportional to 136.46, 204.49 and 124.31

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Solution

The fourth proportional to 136.46, 204.49 and 124.31 is: 186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 204.49 = 124.31 : x
  2. Step 2: Convert to fraction form
    136.46/204.49 = 124.31/x
  3. Step 3: Cross multiply
    136.46x = 204.49 × 124.31
  4. Step 4: Simplify right side
    136.46x = 25,420.82
  5. Step 5: Solve for x
    x = 25,420.82/136.46
  6. Step 6: Final answer
    x = 186.28

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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.