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Finding the Fourth Proportional to 136.62, 205.04 and 102

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Solution

The fourth proportional to 136.62, 205.04 and 102 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.62 : 205.04 = 102 : x
  2. Step 2: Convert to fraction form
    136.62/205.04 = 102/x
  3. Step 3: Cross multiply
    136.62x = 205.04 × 102
  4. Step 4: Simplify right side
    136.62x = 20,914.08
  5. Step 5: Solve for x
    x = 20,914.08/136.62
  6. Step 6: Final answer
    x = 153.08

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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.