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Finding the Fourth Proportional to 143.60, 197.89 and 117.29

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Solution

The fourth proportional to 143.60, 197.89 and 117.29 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 197.89 = 117.29 : x
  2. Step 2: Convert to fraction form
    143.60/197.89 = 117.29/x
  3. Step 3: Cross multiply
    143.60x = 197.89 × 117.29
  4. Step 4: Simplify right side
    143.60x = 23,209.99
  5. Step 5: Solve for x
    x = 23,209.99/143.60
  6. Step 6: Final answer
    x = 161.63

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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.