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Finding the Fourth Proportional to 76.15, 105.09 and 47.05

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Solution

The fourth proportional to 76.15, 105.09 and 47.05 is: 64.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.15 : 105.09 = 47.05 : x
  2. Step 2: Convert to fraction form
    76.15/105.09 = 47.05/x
  3. Step 3: Cross multiply
    76.15x = 105.09 × 47.05
  4. Step 4: Simplify right side
    76.15x = 4,944.48
  5. Step 5: Solve for x
    x = 4,944.48/76.15
  6. Step 6: Final answer
    x = 64.93

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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.