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Finding the Fourth Proportional to 25.98, 39.01 and 17.83

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Solution

The fourth proportional to 25.98, 39.01 and 17.83 is: 26.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.98 : 39.01 = 17.83 : x
  2. Step 2: Convert to fraction form
    25.98/39.01 = 17.83/x
  3. Step 3: Cross multiply
    25.98x = 39.01 × 17.83
  4. Step 4: Simplify right side
    25.98x = 695.55
  5. Step 5: Solve for x
    x = 695.55/25.98
  6. Step 6: Final answer
    x = 26.77

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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.