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Finding the Fourth Proportional to 28.48, 39.32 and 22.32

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Solution

The fourth proportional to 28.48, 39.32 and 22.32 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.48 : 39.32 = 22.32 : x
  2. Step 2: Convert to fraction form
    28.48/39.32 = 22.32/x
  3. Step 3: Cross multiply
    28.48x = 39.32 × 22.32
  4. Step 4: Simplify right side
    28.48x = 877.62
  5. Step 5: Solve for x
    x = 877.62/28.48
  6. Step 6: Final answer
    x = 30.82

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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.