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Finding the Fourth Proportional to 27.91, 42.10 and 27.10

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Solution

The fourth proportional to 27.91, 42.10 and 27.10 is: 40.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.91 : 42.10 = 27.10 : x
  2. Step 2: Convert to fraction form
    27.91/42.10 = 27.10/x
  3. Step 3: Cross multiply
    27.91x = 42.10 × 27.10
  4. Step 4: Simplify right side
    27.91x = 1,140.91
  5. Step 5: Solve for x
    x = 1,140.91/27.91
  6. Step 6: Final answer
    x = 40.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.