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Finding the Fourth Proportional to 31.64, 43.62 and 23

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Solution

The fourth proportional to 31.64, 43.62 and 23 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 43.62 = 23 : x
  2. Step 2: Convert to fraction form
    31.64/43.62 = 23/x
  3. Step 3: Cross multiply
    31.64x = 43.62 × 23
  4. Step 4: Simplify right side
    31.64x = 1,003.26
  5. Step 5: Solve for x
    x = 1,003.26/31.64
  6. Step 6: Final answer
    x = 31.71

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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.