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Finding the Fourth Proportional to 136.29, 203.82 and 102.08

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Solution

The fourth proportional to 136.29, 203.82 and 102.08 is: 152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 203.82 = 102.08 : x
  2. Step 2: Convert to fraction form
    136.29/203.82 = 102.08/x
  3. Step 3: Cross multiply
    136.29x = 203.82 × 102.08
  4. Step 4: Simplify right side
    136.29x = 20,804.93
  5. Step 5: Solve for x
    x = 20,804.93/136.29
  6. Step 6: Final answer
    x = 152.65

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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.