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Finding the Fourth Proportional to 143.90, 198.60 and 85.72

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Solution

The fourth proportional to 143.90, 198.60 and 85.72 is: 118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 198.60 = 85.72 : x
  2. Step 2: Convert to fraction form
    143.90/198.60 = 85.72/x
  3. Step 3: Cross multiply
    143.90x = 198.60 × 85.72
  4. Step 4: Simplify right side
    143.90x = 17,023.99
  5. Step 5: Solve for x
    x = 17,023.99/143.90
  6. Step 6: Final answer
    x = 118.30

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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.