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Finding the Fourth Proportional to 59.82, 82.49 and 46.69

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Solution

The fourth proportional to 59.82, 82.49 and 46.69 is: 64.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 82.49 = 46.69 : x
  2. Step 2: Convert to fraction form
    59.82/82.49 = 46.69/x
  3. Step 3: Cross multiply
    59.82x = 82.49 × 46.69
  4. Step 4: Simplify right side
    59.82x = 3,851.46
  5. Step 5: Solve for x
    x = 3,851.46/59.82
  6. Step 6: Final answer
    x = 64.38

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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.