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Finding the Fourth Proportional to 27, 37.17 and 25.74

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Solution

The fourth proportional to 27, 37.17 and 25.74 is: 35.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.17 = 25.74 : x
  2. Step 2: Convert to fraction form
    27/37.17 = 25.74/x
  3. Step 3: Cross multiply
    27x = 37.17 × 25.74
  4. Step 4: Simplify right side
    27x = 956.76
  5. Step 5: Solve for x
    x = 956.76/27
  6. Step 6: Final answer
    x = 35.44

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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.