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Finding the Fourth Proportional to 31.88, 48.02 and 25.94

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Solution

The fourth proportional to 31.88, 48.02 and 25.94 is: 39.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.88 : 48.02 = 25.94 : x
  2. Step 2: Convert to fraction form
    31.88/48.02 = 25.94/x
  3. Step 3: Cross multiply
    31.88x = 48.02 × 25.94
  4. Step 4: Simplify right side
    31.88x = 1,245.64
  5. Step 5: Solve for x
    x = 1,245.64/31.88
  6. Step 6: Final answer
    x = 39.07

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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.