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Finding the Fourth Proportional to 136.47, 205.78 and 125.13

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Solution

The fourth proportional to 136.47, 205.78 and 125.13 is: 188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 205.78 = 125.13 : x
  2. Step 2: Convert to fraction form
    136.47/205.78 = 125.13/x
  3. Step 3: Cross multiply
    136.47x = 205.78 × 125.13
  4. Step 4: Simplify right side
    136.47x = 25,749.25
  5. Step 5: Solve for x
    x = 25,749.25/136.47
  6. Step 6: Final answer
    x = 188.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.