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Finding the Fourth Proportional to 31.95, 44.10 and 23.66

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Solution

The fourth proportional to 31.95, 44.10 and 23.66 is: 32.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.95 : 44.10 = 23.66 : x
  2. Step 2: Convert to fraction form
    31.95/44.10 = 23.66/x
  3. Step 3: Cross multiply
    31.95x = 44.10 × 23.66
  4. Step 4: Simplify right side
    31.95x = 1,043.19
  5. Step 5: Solve for x
    x = 1,043.19/31.95
  6. Step 6: Final answer
    x = 32.65

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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.