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Finding the Fourth Proportional to 58.82, 81.09 and 48.44

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Solution

The fourth proportional to 58.82, 81.09 and 48.44 is: 66.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.82 : 81.09 = 48.44 : x
  2. Step 2: Convert to fraction form
    58.82/81.09 = 48.44/x
  3. Step 3: Cross multiply
    58.82x = 81.09 × 48.44
  4. Step 4: Simplify right side
    58.82x = 3,927.59
  5. Step 5: Solve for x
    x = 3,927.59/58.82
  6. Step 6: Final answer
    x = 66.78

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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.