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Finding the Fourth Proportional to 94.65, 142.02 and 58.62

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Solution

The fourth proportional to 94.65, 142.02 and 58.62 is: 87.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.65 : 142.02 = 58.62 : x
  2. Step 2: Convert to fraction form
    94.65/142.02 = 58.62/x
  3. Step 3: Cross multiply
    94.65x = 142.02 × 58.62
  4. Step 4: Simplify right side
    94.65x = 8,325.21
  5. Step 5: Solve for x
    x = 8,325.21/94.65
  6. Step 6: Final answer
    x = 87.96

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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.