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Finding the Fourth Proportional to 59.47, 82 and 49.65

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Solution

The fourth proportional to 59.47, 82 and 49.65 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.47 : 82 = 49.65 : x
  2. Step 2: Convert to fraction form
    59.47/82 = 49.65/x
  3. Step 3: Cross multiply
    59.47x = 82 × 49.65
  4. Step 4: Simplify right side
    59.47x = 4,071.30
  5. Step 5: Solve for x
    x = 4,071.30/59.47
  6. Step 6: Final answer
    x = 68.46

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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.