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Finding the Fourth Proportional to 52.07, 71.82 and 31.34

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Solution

The fourth proportional to 52.07, 71.82 and 31.34 is: 43.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.07 : 71.82 = 31.34 : x
  2. Step 2: Convert to fraction form
    52.07/71.82 = 31.34/x
  3. Step 3: Cross multiply
    52.07x = 71.82 × 31.34
  4. Step 4: Simplify right side
    52.07x = 2,250.48
  5. Step 5: Solve for x
    x = 2,250.48/52.07
  6. Step 6: Final answer
    x = 43.22

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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.