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Finding the Fourth Proportional to 32.47, 44.82 and 22.75

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Solution

The fourth proportional to 32.47, 44.82 and 22.75 is: 31.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 44.82 = 22.75 : x
  2. Step 2: Convert to fraction form
    32.47/44.82 = 22.75/x
  3. Step 3: Cross multiply
    32.47x = 44.82 × 22.75
  4. Step 4: Simplify right side
    32.47x = 1,019.32
  5. Step 5: Solve for x
    x = 1,019.32/32.47
  6. Step 6: Final answer
    x = 31.40

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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.