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Finding the Fourth Proportional to 32.93, 49.38 and 22.78

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Solution

The fourth proportional to 32.93, 49.38 and 22.78 is: 34.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.93 : 49.38 = 22.78 : x
  2. Step 2: Convert to fraction form
    32.93/49.38 = 22.78/x
  3. Step 3: Cross multiply
    32.93x = 49.38 × 22.78
  4. Step 4: Simplify right side
    32.93x = 1,124.75
  5. Step 5: Solve for x
    x = 1,124.75/32.93
  6. Step 6: Final answer
    x = 34.16

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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.