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Finding the Fourth Proportional to 31.39, 43.32 and 19.10

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Solution

The fourth proportional to 31.39, 43.32 and 19.10 is: 26.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.39 : 43.32 = 19.10 : x
  2. Step 2: Convert to fraction form
    31.39/43.32 = 19.10/x
  3. Step 3: Cross multiply
    31.39x = 43.32 × 19.10
  4. Step 4: Simplify right side
    31.39x = 827.32
  5. Step 5: Solve for x
    x = 827.32/31.39
  6. Step 6: Final answer
    x = 26.36

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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.