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Finding the Fourth Proportional to 130.73, 196.22 and 117.81

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Solution

The fourth proportional to 130.73, 196.22 and 117.81 is: 176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.73 : 196.22 = 117.81 : x
  2. Step 2: Convert to fraction form
    130.73/196.22 = 117.81/x
  3. Step 3: Cross multiply
    130.73x = 196.22 × 117.81
  4. Step 4: Simplify right side
    130.73x = 23,116.97
  5. Step 5: Solve for x
    x = 23,116.97/130.73
  6. Step 6: Final answer
    x = 176.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.