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Finding the Fourth Proportional to 25.85, 35.66 and 19.71

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Solution

The fourth proportional to 25.85, 35.66 and 19.71 is: 27.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.85 : 35.66 = 19.71 : x
  2. Step 2: Convert to fraction form
    25.85/35.66 = 19.71/x
  3. Step 3: Cross multiply
    25.85x = 35.66 × 19.71
  4. Step 4: Simplify right side
    25.85x = 702.91
  5. Step 5: Solve for x
    x = 702.91/25.85
  6. Step 6: Final answer
    x = 27.19

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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.