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Finding the Fourth Proportional to 59.05, 81.46 and 37.19

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Solution

The fourth proportional to 59.05, 81.46 and 37.19 is: 51.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.05 : 81.46 = 37.19 : x
  2. Step 2: Convert to fraction form
    59.05/81.46 = 37.19/x
  3. Step 3: Cross multiply
    59.05x = 81.46 × 37.19
  4. Step 4: Simplify right side
    59.05x = 3,029.50
  5. Step 5: Solve for x
    x = 3,029.50/59.05
  6. Step 6: Final answer
    x = 51.30

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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.