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Finding the Fourth Proportional to 59.99, 82.75 and 45.41

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Solution

The fourth proportional to 59.99, 82.75 and 45.41 is: 62.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.99 : 82.75 = 45.41 : x
  2. Step 2: Convert to fraction form
    59.99/82.75 = 45.41/x
  3. Step 3: Cross multiply
    59.99x = 82.75 × 45.41
  4. Step 4: Simplify right side
    59.99x = 3,757.68
  5. Step 5: Solve for x
    x = 3,757.68/59.99
  6. Step 6: Final answer
    x = 62.64

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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.