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Finding the Fourth Proportional to 59.37, 82.49 and 58.62

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Solution

The fourth proportional to 59.37, 82.49 and 58.62 is: 81.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.37 : 82.49 = 58.62 : x
  2. Step 2: Convert to fraction form
    59.37/82.49 = 58.62/x
  3. Step 3: Cross multiply
    59.37x = 82.49 × 58.62
  4. Step 4: Simplify right side
    59.37x = 4,835.58
  5. Step 5: Solve for x
    x = 4,835.58/59.37
  6. Step 6: Final answer
    x = 81.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.