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Finding the Fourth Proportional to 76.98, 105.90 and 66.54

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Solution

The fourth proportional to 76.98, 105.90 and 66.54 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 105.90 = 66.54 : x
  2. Step 2: Convert to fraction form
    76.98/105.90 = 66.54/x
  3. Step 3: Cross multiply
    76.98x = 105.90 × 66.54
  4. Step 4: Simplify right side
    76.98x = 7,046.59
  5. Step 5: Solve for x
    x = 7,046.59/76.98
  6. Step 6: Final answer
    x = 91.54

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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.