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Finding the Fourth Proportional to 136.69, 204.80 and 96.14

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Solution

The fourth proportional to 136.69, 204.80 and 96.14 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 204.80 = 96.14 : x
  2. Step 2: Convert to fraction form
    136.69/204.80 = 96.14/x
  3. Step 3: Cross multiply
    136.69x = 204.80 × 96.14
  4. Step 4: Simplify right side
    136.69x = 19,689.50
  5. Step 5: Solve for x
    x = 19,689.50/136.69
  6. Step 6: Final answer
    x = 144.05

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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.