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Finding the Fourth Proportional to 25.93, 39.13 and 25.66

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Solution

The fourth proportional to 25.93, 39.13 and 25.66 is: 38.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.93 : 39.13 = 25.66 : x
  2. Step 2: Convert to fraction form
    25.93/39.13 = 25.66/x
  3. Step 3: Cross multiply
    25.93x = 39.13 × 25.66
  4. Step 4: Simplify right side
    25.93x = 1,004.08
  5. Step 5: Solve for x
    x = 1,004.08/25.93
  6. Step 6: Final answer
    x = 38.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.