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Finding the Fourth Proportional to 136.32, 204.48 and 59.28

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Solution

The fourth proportional to 136.32, 204.48 and 59.28 is: 88.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.32 : 204.48 = 59.28 : x
  2. Step 2: Convert to fraction form
    136.32/204.48 = 59.28/x
  3. Step 3: Cross multiply
    136.32x = 204.48 × 59.28
  4. Step 4: Simplify right side
    136.32x = 12,121.57
  5. Step 5: Solve for x
    x = 12,121.57/136.32
  6. Step 6: Final answer
    x = 88.92

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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.