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Finding the Fourth Proportional to 76.98, 106.22 and 45.89

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Solution

The fourth proportional to 76.98, 106.22 and 45.89 is: 63.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.22 = 45.89 : x
  2. Step 2: Convert to fraction form
    76.98/106.22 = 45.89/x
  3. Step 3: Cross multiply
    76.98x = 106.22 × 45.89
  4. Step 4: Simplify right side
    76.98x = 4,873.68
  5. Step 5: Solve for x
    x = 4,873.68/76.98
  6. Step 6: Final answer
    x = 63.31

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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.