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Finding the Fourth Proportional to 59.53, 82.09 and 40.16

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Solution

The fourth proportional to 59.53, 82.09 and 40.16 is: 55.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 82.09 = 40.16 : x
  2. Step 2: Convert to fraction form
    59.53/82.09 = 40.16/x
  3. Step 3: Cross multiply
    59.53x = 82.09 × 40.16
  4. Step 4: Simplify right side
    59.53x = 3,296.73
  5. Step 5: Solve for x
    x = 3,296.73/59.53
  6. Step 6: Final answer
    x = 55.38

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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.