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Finding the Fourth Proportional to 142.05, 196.07 and 113.07

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Solution

The fourth proportional to 142.05, 196.07 and 113.07 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.05 : 196.07 = 113.07 : x
  2. Step 2: Convert to fraction form
    142.05/196.07 = 113.07/x
  3. Step 3: Cross multiply
    142.05x = 196.07 × 113.07
  4. Step 4: Simplify right side
    142.05x = 22,169.07
  5. Step 5: Solve for x
    x = 22,169.07/142.05
  6. Step 6: Final answer
    x = 156.07

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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.