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Finding the Fourth Proportional to 142.08, 213.13 and 55.44

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Solution

The fourth proportional to 142.08, 213.13 and 55.44 is: 83.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.08 : 213.13 = 55.44 : x
  2. Step 2: Convert to fraction form
    142.08/213.13 = 55.44/x
  3. Step 3: Cross multiply
    142.08x = 213.13 × 55.44
  4. Step 4: Simplify right side
    142.08x = 11,815.93
  5. Step 5: Solve for x
    x = 11,815.93/142.08
  6. Step 6: Final answer
    x = 83.16

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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.