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Finding the Fourth Proportional to 117.31, 161.90 and 102.73

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Solution

The fourth proportional to 117.31, 161.90 and 102.73 is: 141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.31 : 161.90 = 102.73 : x
  2. Step 2: Convert to fraction form
    117.31/161.90 = 102.73/x
  3. Step 3: Cross multiply
    117.31x = 161.90 × 102.73
  4. Step 4: Simplify right side
    117.31x = 16,631.47
  5. Step 5: Solve for x
    x = 16,631.47/117.31
  6. Step 6: Final answer
    x = 141.77

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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.