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Finding the Fourth Proportional to 143.94, 198.64 and 85.74

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Solution

The fourth proportional to 143.94, 198.64 and 85.74 is: 118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 198.64 = 85.74 : x
  2. Step 2: Convert to fraction form
    143.94/198.64 = 85.74/x
  3. Step 3: Cross multiply
    143.94x = 198.64 × 85.74
  4. Step 4: Simplify right side
    143.94x = 17,031.39
  5. Step 5: Solve for x
    x = 17,031.39/143.94
  6. Step 6: Final answer
    x = 118.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.