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Finding the Fourth Proportional to 142.84, 197.26 and 106.12

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Solution

The fourth proportional to 142.84, 197.26 and 106.12 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 197.26 = 106.12 : x
  2. Step 2: Convert to fraction form
    142.84/197.26 = 106.12/x
  3. Step 3: Cross multiply
    142.84x = 197.26 × 106.12
  4. Step 4: Simplify right side
    142.84x = 20,933.23
  5. Step 5: Solve for x
    x = 20,933.23/142.84
  6. Step 6: Final answer
    x = 146.55

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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.