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Finding the Fourth Proportional to 26.46, 39.56 and 17.87

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Solution

The fourth proportional to 26.46, 39.56 and 17.87 is: 26.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.46 : 39.56 = 17.87 : x
  2. Step 2: Convert to fraction form
    26.46/39.56 = 17.87/x
  3. Step 3: Cross multiply
    26.46x = 39.56 × 17.87
  4. Step 4: Simplify right side
    26.46x = 706.65
  5. Step 5: Solve for x
    x = 706.65/26.46
  6. Step 6: Final answer
    x = 26.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.