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Finding the Fourth Proportional to 143.19, 197.60 and 77.69

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Solution

The fourth proportional to 143.19, 197.60 and 77.69 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.19 : 197.60 = 77.69 : x
  2. Step 2: Convert to fraction form
    143.19/197.60 = 77.69/x
  3. Step 3: Cross multiply
    143.19x = 197.60 × 77.69
  4. Step 4: Simplify right side
    143.19x = 15,352.01
  5. Step 5: Solve for x
    x = 15,352.01/143.19
  6. Step 6: Final answer
    x = 107.22

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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.