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Finding the Fourth Proportional to 143.22, 197.64 and 77.72

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Solution

The fourth proportional to 143.22, 197.64 and 77.72 is: 107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.22 : 197.64 = 77.72 : x
  2. Step 2: Convert to fraction form
    143.22/197.64 = 77.72/x
  3. Step 3: Cross multiply
    143.22x = 197.64 × 77.72
  4. Step 4: Simplify right side
    143.22x = 15,360.04
  5. Step 5: Solve for x
    x = 15,360.04/143.22
  6. Step 6: Final answer
    x = 107.25

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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.