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Finding the Fourth Proportional to 142.78, 197 and 84.54

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Solution

The fourth proportional to 142.78, 197 and 84.54 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 197 = 84.54 : x
  2. Step 2: Convert to fraction form
    142.78/197 = 84.54/x
  3. Step 3: Cross multiply
    142.78x = 197 × 84.54
  4. Step 4: Simplify right side
    142.78x = 16,654.38
  5. Step 5: Solve for x
    x = 16,654.38/142.78
  6. Step 6: Final answer
    x = 116.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.