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Finding the Fourth Proportional to 23.80, 32.78 and 22.90

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Solution

The fourth proportional to 23.80, 32.78 and 22.90 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.80 : 32.78 = 22.90 : x
  2. Step 2: Convert to fraction form
    23.80/32.78 = 22.90/x
  3. Step 3: Cross multiply
    23.80x = 32.78 × 22.90
  4. Step 4: Simplify right side
    23.80x = 750.66
  5. Step 5: Solve for x
    x = 750.66/23.80
  6. Step 6: Final answer
    x = 31.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.