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Finding the Fourth Proportional to 59.45, 81.96 and 37.58

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Solution

The fourth proportional to 59.45, 81.96 and 37.58 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.45 : 81.96 = 37.58 : x
  2. Step 2: Convert to fraction form
    59.45/81.96 = 37.58/x
  3. Step 3: Cross multiply
    59.45x = 81.96 × 37.58
  4. Step 4: Simplify right side
    59.45x = 3,079.65
  5. Step 5: Solve for x
    x = 3,079.65/59.45
  6. Step 6: Final answer
    x = 51.81

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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.