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Finding the Fourth Proportional to 143.32, 197.34 and 117.04

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Solution

The fourth proportional to 143.32, 197.34 and 117.04 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 197.34 = 117.04 : x
  2. Step 2: Convert to fraction form
    143.32/197.34 = 117.04/x
  3. Step 3: Cross multiply
    143.32x = 197.34 × 117.04
  4. Step 4: Simplify right side
    143.32x = 23,096.67
  5. Step 5: Solve for x
    x = 23,096.67/143.32
  6. Step 6: Final answer
    x = 161.15

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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.