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Finding the Fourth Proportional to 59.82, 82.38 and 52.53

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Solution

The fourth proportional to 59.82, 82.38 and 52.53 is: 72.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 82.38 = 52.53 : x
  2. Step 2: Convert to fraction form
    59.82/82.38 = 52.53/x
  3. Step 3: Cross multiply
    59.82x = 82.38 × 52.53
  4. Step 4: Simplify right side
    59.82x = 4,327.42
  5. Step 5: Solve for x
    x = 4,327.42/59.82
  6. Step 6: Final answer
    x = 72.34

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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.