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Finding the Fourth Proportional to 32.78, 49.11 and 23.15

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Solution

The fourth proportional to 32.78, 49.11 and 23.15 is: 34.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.78 : 49.11 = 23.15 : x
  2. Step 2: Convert to fraction form
    32.78/49.11 = 23.15/x
  3. Step 3: Cross multiply
    32.78x = 49.11 × 23.15
  4. Step 4: Simplify right side
    32.78x = 1,136.90
  5. Step 5: Solve for x
    x = 1,136.90/32.78
  6. Step 6: Final answer
    x = 34.68

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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.