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Finding the Fourth Proportional to 143.48, 197.86 and 110.12

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Solution

The fourth proportional to 143.48, 197.86 and 110.12 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.48 : 197.86 = 110.12 : x
  2. Step 2: Convert to fraction form
    143.48/197.86 = 110.12/x
  3. Step 3: Cross multiply
    143.48x = 197.86 × 110.12
  4. Step 4: Simplify right side
    143.48x = 21,788.34
  5. Step 5: Solve for x
    x = 21,788.34/143.48
  6. Step 6: Final answer
    x = 151.86

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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.