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Finding the Fourth Proportional to 136.16, 203.13 and 123.20

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Solution

The fourth proportional to 136.16, 203.13 and 123.20 is: 183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.16 : 203.13 = 123.20 : x
  2. Step 2: Convert to fraction form
    136.16/203.13 = 123.20/x
  3. Step 3: Cross multiply
    136.16x = 203.13 × 123.20
  4. Step 4: Simplify right side
    136.16x = 25,025.62
  5. Step 5: Solve for x
    x = 25,025.62/136.16
  6. Step 6: Final answer
    x = 183.80

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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.