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Finding the Fourth Proportional to 136.02, 204.06 and 78.27

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Solution

The fourth proportional to 136.02, 204.06 and 78.27 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.02 : 204.06 = 78.27 : x
  2. Step 2: Convert to fraction form
    136.02/204.06 = 78.27/x
  3. Step 3: Cross multiply
    136.02x = 204.06 × 78.27
  4. Step 4: Simplify right side
    136.02x = 15,971.78
  5. Step 5: Solve for x
    x = 15,971.78/136.02
  6. Step 6: Final answer
    x = 117.42

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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.