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Finding the Fourth Proportional to 52.21, 72.05 and 31.48

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Solution

The fourth proportional to 52.21, 72.05 and 31.48 is: 43.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.21 : 72.05 = 31.48 : x
  2. Step 2: Convert to fraction form
    52.21/72.05 = 31.48/x
  3. Step 3: Cross multiply
    52.21x = 72.05 × 31.48
  4. Step 4: Simplify right side
    52.21x = 2,267.98
  5. Step 5: Solve for x
    x = 2,267.98/52.21
  6. Step 6: Final answer
    x = 43.44

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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.