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Finding the Fourth Proportional to 59.49, 81.90 and 52.02

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Solution

The fourth proportional to 59.49, 81.90 and 52.02 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.49 : 81.90 = 52.02 : x
  2. Step 2: Convert to fraction form
    59.49/81.90 = 52.02/x
  3. Step 3: Cross multiply
    59.49x = 81.90 × 52.02
  4. Step 4: Simplify right side
    59.49x = 4,260.44
  5. Step 5: Solve for x
    x = 4,260.44/59.49
  6. Step 6: Final answer
    x = 71.62

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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.