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Finding the Fourth Proportional to 136.78, 205.02 and 102.52

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Solution

The fourth proportional to 136.78, 205.02 and 102.52 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 205.02 = 102.52 : x
  2. Step 2: Convert to fraction form
    136.78/205.02 = 102.52/x
  3. Step 3: Cross multiply
    136.78x = 205.02 × 102.52
  4. Step 4: Simplify right side
    136.78x = 21,018.65
  5. Step 5: Solve for x
    x = 21,018.65/136.78
  6. Step 6: Final answer
    x = 153.67

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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.