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Finding the Fourth Proportional to 136.86, 204.66 and 102.18

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Solution

The fourth proportional to 136.86, 204.66 and 102.18 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.86 : 204.66 = 102.18 : x
  2. Step 2: Convert to fraction form
    136.86/204.66 = 102.18/x
  3. Step 3: Cross multiply
    136.86x = 204.66 × 102.18
  4. Step 4: Simplify right side
    136.86x = 20,911.27
  5. Step 5: Solve for x
    x = 20,911.27/136.86
  6. Step 6: Final answer
    x = 152.80

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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.