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Finding the Fourth Proportional to 76.72, 105.88 and 47.68

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Solution

The fourth proportional to 76.72, 105.88 and 47.68 is: 65.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.88 = 47.68 : x
  2. Step 2: Convert to fraction form
    76.72/105.88 = 47.68/x
  3. Step 3: Cross multiply
    76.72x = 105.88 × 47.68
  4. Step 4: Simplify right side
    76.72x = 5,048.36
  5. Step 5: Solve for x
    x = 5,048.36/76.72
  6. Step 6: Final answer
    x = 65.80

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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.