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Finding the Fourth Proportional to 59.70, 82.31 and 41.30

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Solution

The fourth proportional to 59.70, 82.31 and 41.30 is: 56.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.70 : 82.31 = 41.30 : x
  2. Step 2: Convert to fraction form
    59.70/82.31 = 41.30/x
  3. Step 3: Cross multiply
    59.70x = 82.31 × 41.30
  4. Step 4: Simplify right side
    59.70x = 3,399.09
  5. Step 5: Solve for x
    x = 3,399.09/59.70
  6. Step 6: Final answer
    x = 56.94

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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.