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Finding the Fourth Proportional to 142.10, 213.08 and 49.54

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Solution

The fourth proportional to 142.10, 213.08 and 49.54 is: 74.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 213.08 = 49.54 : x
  2. Step 2: Convert to fraction form
    142.10/213.08 = 49.54/x
  3. Step 3: Cross multiply
    142.10x = 213.08 × 49.54
  4. Step 4: Simplify right side
    142.10x = 10,555.98
  5. Step 5: Solve for x
    x = 10,555.98/142.10
  6. Step 6: Final answer
    x = 74.29

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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.