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Finding the Fourth Proportional to 76.28, 105.23 and 48.65

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Solution

The fourth proportional to 76.28, 105.23 and 48.65 is: 67.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 105.23 = 48.65 : x
  2. Step 2: Convert to fraction form
    76.28/105.23 = 48.65/x
  3. Step 3: Cross multiply
    76.28x = 105.23 × 48.65
  4. Step 4: Simplify right side
    76.28x = 5,118.91
  5. Step 5: Solve for x
    x = 5,118.91/76.28
  6. Step 6: Final answer
    x = 67.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.