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Finding the Fourth Proportional to 27.80, 38.16 and 26.89

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Solution

The fourth proportional to 27.80, 38.16 and 26.89 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.80 : 38.16 = 26.89 : x
  2. Step 2: Convert to fraction form
    27.80/38.16 = 26.89/x
  3. Step 3: Cross multiply
    27.80x = 38.16 × 26.89
  4. Step 4: Simplify right side
    27.80x = 1,026.12
  5. Step 5: Solve for x
    x = 1,026.12/27.80
  6. Step 6: Final answer
    x = 36.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.