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Finding the Fourth Proportional to 94.70, 130.76 and 76.41

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Solution

The fourth proportional to 94.70, 130.76 and 76.41 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.70 : 130.76 = 76.41 : x
  2. Step 2: Convert to fraction form
    94.70/130.76 = 76.41/x
  3. Step 3: Cross multiply
    94.70x = 130.76 × 76.41
  4. Step 4: Simplify right side
    94.70x = 9,991.37
  5. Step 5: Solve for x
    x = 9,991.37/94.70
  6. Step 6: Final answer
    x = 105.51

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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.