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Finding the Fourth Proportional to 136.24, 203.49 and 117.03

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Solution

The fourth proportional to 136.24, 203.49 and 117.03 is: 174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 203.49 = 117.03 : x
  2. Step 2: Convert to fraction form
    136.24/203.49 = 117.03/x
  3. Step 3: Cross multiply
    136.24x = 203.49 × 117.03
  4. Step 4: Simplify right side
    136.24x = 23,815.20
  5. Step 5: Solve for x
    x = 23,815.20/136.24
  6. Step 6: Final answer
    x = 174.81

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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.