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Finding the Fourth Proportional to 94.87, 142.22 and 56.30

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Solution

The fourth proportional to 94.87, 142.22 and 56.30 is: 84.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.87 : 142.22 = 56.30 : x
  2. Step 2: Convert to fraction form
    94.87/142.22 = 56.30/x
  3. Step 3: Cross multiply
    94.87x = 142.22 × 56.30
  4. Step 4: Simplify right side
    94.87x = 8,007.48
  5. Step 5: Solve for x
    x = 8,007.48/94.87
  6. Step 6: Final answer
    x = 84.41

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Why These Related Problems?

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