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Finding the Fourth Proportional to 27.46, 40.88 and 27.28

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Solution

The fourth proportional to 27.46, 40.88 and 27.28 is: 40.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.46 : 40.88 = 27.28 : x
  2. Step 2: Convert to fraction form
    27.46/40.88 = 27.28/x
  3. Step 3: Cross multiply
    27.46x = 40.88 × 27.28
  4. Step 4: Simplify right side
    27.46x = 1,115.21
  5. Step 5: Solve for x
    x = 1,115.21/27.46
  6. Step 6: Final answer
    x = 40.61

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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.