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Finding the Fourth Proportional to 52.82, 72.87 and 30.98

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Solution

The fourth proportional to 52.82, 72.87 and 30.98 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 72.87 = 30.98 : x
  2. Step 2: Convert to fraction form
    52.82/72.87 = 30.98/x
  3. Step 3: Cross multiply
    52.82x = 72.87 × 30.98
  4. Step 4: Simplify right side
    52.82x = 2,257.59
  5. Step 5: Solve for x
    x = 2,257.59/52.82
  6. Step 6: Final answer
    x = 42.75

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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.