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Finding the Fourth Proportional to 27.58, 37.97 and 26.66

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Solution

The fourth proportional to 27.58, 37.97 and 26.66 is: 36.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.58 : 37.97 = 26.66 : x
  2. Step 2: Convert to fraction form
    27.58/37.97 = 26.66/x
  3. Step 3: Cross multiply
    27.58x = 37.97 × 26.66
  4. Step 4: Simplify right side
    27.58x = 1,012.28
  5. Step 5: Solve for x
    x = 1,012.28/27.58
  6. Step 6: Final answer
    x = 36.70

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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.