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Finding the Fourth Proportional to 136.13, 203.27 and 120.74

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Solution

The fourth proportional to 136.13, 203.27 and 120.74 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.13 : 203.27 = 120.74 : x
  2. Step 2: Convert to fraction form
    136.13/203.27 = 120.74/x
  3. Step 3: Cross multiply
    136.13x = 203.27 × 120.74
  4. Step 4: Simplify right side
    136.13x = 24,541.20
  5. Step 5: Solve for x
    x = 24,541.20/136.13
  6. Step 6: Final answer
    x = 180.28

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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.