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Finding the Fourth Proportional to 27.32, 40.78 and 22.19

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Solution

The fourth proportional to 27.32, 40.78 and 22.19 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 40.78 = 22.19 : x
  2. Step 2: Convert to fraction form
    27.32/40.78 = 22.19/x
  3. Step 3: Cross multiply
    27.32x = 40.78 × 22.19
  4. Step 4: Simplify right side
    27.32x = 904.73
  5. Step 5: Solve for x
    x = 904.73/27.32
  6. Step 6: Final answer
    x = 33.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.