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Finding the Fourth Proportional to 76.72, 114.90 and 69.80

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Solution

The fourth proportional to 76.72, 114.90 and 69.80 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 114.90 = 69.80 : x
  2. Step 2: Convert to fraction form
    76.72/114.90 = 69.80/x
  3. Step 3: Cross multiply
    76.72x = 114.90 × 69.80
  4. Step 4: Simplify right side
    76.72x = 8,019.77
  5. Step 5: Solve for x
    x = 8,019.77/76.72
  6. Step 6: Final answer
    x = 104.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.