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Finding the Fourth Proportional to 142.07, 196.05 and 83.87

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Solution

The fourth proportional to 142.07, 196.05 and 83.87 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 196.05 = 83.87 : x
  2. Step 2: Convert to fraction form
    142.07/196.05 = 83.87/x
  3. Step 3: Cross multiply
    142.07x = 196.05 × 83.87
  4. Step 4: Simplify right side
    142.07x = 16,442.71
  5. Step 5: Solve for x
    x = 16,442.71/142.07
  6. Step 6: Final answer
    x = 115.74

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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.