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Finding the Fourth Proportional to 76.57, 105.68 and 47.46

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Solution

The fourth proportional to 76.57, 105.68 and 47.46 is: 65.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 105.68 = 47.46 : x
  2. Step 2: Convert to fraction form
    76.57/105.68 = 47.46/x
  3. Step 3: Cross multiply
    76.57x = 105.68 × 47.46
  4. Step 4: Simplify right side
    76.57x = 5,015.57
  5. Step 5: Solve for x
    x = 5,015.57/76.57
  6. Step 6: Final answer
    x = 65.50

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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.