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Finding the Fourth Proportional to 136.66, 204.84 and 68.14

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Solution

The fourth proportional to 136.66, 204.84 and 68.14 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.66 : 204.84 = 68.14 : x
  2. Step 2: Convert to fraction form
    136.66/204.84 = 68.14/x
  3. Step 3: Cross multiply
    136.66x = 204.84 × 68.14
  4. Step 4: Simplify right side
    136.66x = 13,957.80
  5. Step 5: Solve for x
    x = 13,957.80/136.66
  6. Step 6: Final answer
    x = 102.14

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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.