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Finding the Fourth Proportional to 31.22, 43.05 and 25.74

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Solution

The fourth proportional to 31.22, 43.05 and 25.74 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.22 : 43.05 = 25.74 : x
  2. Step 2: Convert to fraction form
    31.22/43.05 = 25.74/x
  3. Step 3: Cross multiply
    31.22x = 43.05 × 25.74
  4. Step 4: Simplify right side
    31.22x = 1,108.11
  5. Step 5: Solve for x
    x = 1,108.11/31.22
  6. Step 6: Final answer
    x = 35.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.