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Finding the Fourth Proportional to 143.40, 197.85 and 88.14

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Solution

The fourth proportional to 143.40, 197.85 and 88.14 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.85 = 88.14 : x
  2. Step 2: Convert to fraction form
    143.40/197.85 = 88.14/x
  3. Step 3: Cross multiply
    143.40x = 197.85 × 88.14
  4. Step 4: Simplify right side
    143.40x = 17,438.50
  5. Step 5: Solve for x
    x = 17,438.50/143.40
  6. Step 6: Final answer
    x = 121.61

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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.