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Finding the Fourth Proportional to 142.23, 196.29 and 84

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Solution

The fourth proportional to 142.23, 196.29 and 84 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 196.29 = 84 : x
  2. Step 2: Convert to fraction form
    142.23/196.29 = 84/x
  3. Step 3: Cross multiply
    142.23x = 196.29 × 84
  4. Step 4: Simplify right side
    142.23x = 16,488.36
  5. Step 5: Solve for x
    x = 16,488.36/142.23
  6. Step 6: Final answer
    x = 115.93

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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.