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Finding the Fourth Proportional to 94.77, 141.75 and 76.68

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Solution

The fourth proportional to 94.77, 141.75 and 76.68 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.77 : 141.75 = 76.68 : x
  2. Step 2: Convert to fraction form
    94.77/141.75 = 76.68/x
  3. Step 3: Cross multiply
    94.77x = 141.75 × 76.68
  4. Step 4: Simplify right side
    94.77x = 10,869.39
  5. Step 5: Solve for x
    x = 10,869.39/94.77
  6. Step 6: Final answer
    x = 114.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.