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Finding the Fourth Proportional to 31.95, 44.31 and 31.35

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Solution

The fourth proportional to 31.95, 44.31 and 31.35 is: 43.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.95 : 44.31 = 31.35 : x
  2. Step 2: Convert to fraction form
    31.95/44.31 = 31.35/x
  3. Step 3: Cross multiply
    31.95x = 44.31 × 31.35
  4. Step 4: Simplify right side
    31.95x = 1,389.12
  5. Step 5: Solve for x
    x = 1,389.12/31.95
  6. Step 6: Final answer
    x = 43.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.