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Finding the Fourth Proportional to 32.54, 48.82 and 22.91

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Solution

The fourth proportional to 32.54, 48.82 and 22.91 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.54 : 48.82 = 22.91 : x
  2. Step 2: Convert to fraction form
    32.54/48.82 = 22.91/x
  3. Step 3: Cross multiply
    32.54x = 48.82 × 22.91
  4. Step 4: Simplify right side
    32.54x = 1,118.16
  5. Step 5: Solve for x
    x = 1,118.16/32.54
  6. Step 6: Final answer
    x = 34.37

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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.