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Finding the Fourth Proportional to 28.60, 39.49 and 22.82

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Solution

The fourth proportional to 28.60, 39.49 and 22.82 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.60 : 39.49 = 22.82 : x
  2. Step 2: Convert to fraction form
    28.60/39.49 = 22.82/x
  3. Step 3: Cross multiply
    28.60x = 39.49 × 22.82
  4. Step 4: Simplify right side
    28.60x = 900.91
  5. Step 5: Solve for x
    x = 900.91/28.60
  6. Step 6: Final answer
    x = 31.50

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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.