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Finding the Fourth Proportional to 94.66, 130.70 and 67.12

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Solution

The fourth proportional to 94.66, 130.70 and 67.12 is: 92.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.66 : 130.70 = 67.12 : x
  2. Step 2: Convert to fraction form
    94.66/130.70 = 67.12/x
  3. Step 3: Cross multiply
    94.66x = 130.70 × 67.12
  4. Step 4: Simplify right side
    94.66x = 8,772.58
  5. Step 5: Solve for x
    x = 8,772.58/94.66
  6. Step 6: Final answer
    x = 92.67

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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.