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Finding the Fourth Proportional to 76.06, 104.94 and 48.42

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Solution

The fourth proportional to 76.06, 104.94 and 48.42 is: 66.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 104.94 = 48.42 : x
  2. Step 2: Convert to fraction form
    76.06/104.94 = 48.42/x
  3. Step 3: Cross multiply
    76.06x = 104.94 × 48.42
  4. Step 4: Simplify right side
    76.06x = 5,081.19
  5. Step 5: Solve for x
    x = 5,081.19/76.06
  6. Step 6: Final answer
    x = 66.80

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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.