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Finding the Fourth Proportional to 27.61, 38.12 and 22.99

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Solution

The fourth proportional to 27.61, 38.12 and 22.99 is: 31.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.61 : 38.12 = 22.99 : x
  2. Step 2: Convert to fraction form
    27.61/38.12 = 22.99/x
  3. Step 3: Cross multiply
    27.61x = 38.12 × 22.99
  4. Step 4: Simplify right side
    27.61x = 876.38
  5. Step 5: Solve for x
    x = 876.38/27.61
  6. Step 6: Final answer
    x = 31.74

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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.