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Finding the Fourth Proportional to 76.69, 114.91 and 52.28

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Solution

The fourth proportional to 76.69, 114.91 and 52.28 is: 78.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 114.91 = 52.28 : x
  2. Step 2: Convert to fraction form
    76.69/114.91 = 52.28/x
  3. Step 3: Cross multiply
    76.69x = 114.91 × 52.28
  4. Step 4: Simplify right side
    76.69x = 6,007.49
  5. Step 5: Solve for x
    x = 6,007.49/76.69
  6. Step 6: Final answer
    x = 78.33

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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.