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Finding the Fourth Proportional to 76.29, 105.32 and 48.69

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Solution

The fourth proportional to 76.29, 105.32 and 48.69 is: 67.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 105.32 = 48.69 : x
  2. Step 2: Convert to fraction form
    76.29/105.32 = 48.69/x
  3. Step 3: Cross multiply
    76.29x = 105.32 × 48.69
  4. Step 4: Simplify right side
    76.29x = 5,127.79
  5. Step 5: Solve for x
    x = 5,127.79/76.29
  6. Step 6: Final answer
    x = 67.21

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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.