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Finding the Fourth Proportional to 52.12, 71.94 and 31.39

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Solution

The fourth proportional to 52.12, 71.94 and 31.39 is: 43.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 71.94 = 31.39 : x
  2. Step 2: Convert to fraction form
    52.12/71.94 = 31.39/x
  3. Step 3: Cross multiply
    52.12x = 71.94 × 31.39
  4. Step 4: Simplify right side
    52.12x = 2,258.20
  5. Step 5: Solve for x
    x = 2,258.20/52.12
  6. Step 6: Final answer
    x = 43.33

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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.