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Finding the Fourth Proportional to 143.40, 197.76 and 85.14

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Solution

The fourth proportional to 143.40, 197.76 and 85.14 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.76 = 85.14 : x
  2. Step 2: Convert to fraction form
    143.40/197.76 = 85.14/x
  3. Step 3: Cross multiply
    143.40x = 197.76 × 85.14
  4. Step 4: Simplify right side
    143.40x = 16,837.29
  5. Step 5: Solve for x
    x = 16,837.29/143.40
  6. Step 6: Final answer
    x = 117.41

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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.