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Finding the Fourth Proportional to 59.97, 82.58 and 49.58

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Solution

The fourth proportional to 59.97, 82.58 and 49.58 is: 68.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.97 : 82.58 = 49.58 : x
  2. Step 2: Convert to fraction form
    59.97/82.58 = 49.58/x
  3. Step 3: Cross multiply
    59.97x = 82.58 × 49.58
  4. Step 4: Simplify right side
    59.97x = 4,093.66
  5. Step 5: Solve for x
    x = 4,093.66/59.97
  6. Step 6: Final answer
    x = 68.26

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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.