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Finding the Fourth Proportional to 23.75, 32.60 and 22.40

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Solution

The fourth proportional to 23.75, 32.60 and 22.40 is: 30.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 32.60 = 22.40 : x
  2. Step 2: Convert to fraction form
    23.75/32.60 = 22.40/x
  3. Step 3: Cross multiply
    23.75x = 32.60 × 22.40
  4. Step 4: Simplify right side
    23.75x = 729.97
  5. Step 5: Solve for x
    x = 729.97/23.75
  6. Step 6: Final answer
    x = 30.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.