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Finding the Fourth Proportional to 27.74, 41.61 and 9.70

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Solution

The fourth proportional to 27.74, 41.61 and 9.70 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.74 : 41.61 = 9.70 : x
  2. Step 2: Convert to fraction form
    27.74/41.61 = 9.70/x
  3. Step 3: Cross multiply
    27.74x = 41.61 × 9.70
  4. Step 4: Simplify right side
    27.74x = 403.78
  5. Step 5: Solve for x
    x = 403.78/27.74
  6. Step 6: Final answer
    x = 14.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.