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Finding the Fourth Proportional to 25.15, 34.51 and 23.11

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Solution

The fourth proportional to 25.15, 34.51 and 23.11 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.15 : 34.51 = 23.11 : x
  2. Step 2: Convert to fraction form
    25.15/34.51 = 23.11/x
  3. Step 3: Cross multiply
    25.15x = 34.51 × 23.11
  4. Step 4: Simplify right side
    25.15x = 797.53
  5. Step 5: Solve for x
    x = 797.53/25.15
  6. Step 6: Final answer
    x = 31.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.