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Finding the Fourth Proportional to 23.51, 32.48 and 22.75

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Solution

The fourth proportional to 23.51, 32.48 and 22.75 is: 31.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.51 : 32.48 = 22.75 : x
  2. Step 2: Convert to fraction form
    23.51/32.48 = 22.75/x
  3. Step 3: Cross multiply
    23.51x = 32.48 × 22.75
  4. Step 4: Simplify right side
    23.51x = 738.92
  5. Step 5: Solve for x
    x = 738.92/23.51
  6. Step 6: Final answer
    x = 31.43

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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.