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Finding the Fourth Proportional to 116.72, 161.30 and 100.52

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Solution

The fourth proportional to 116.72, 161.30 and 100.52 is: 138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 161.30 = 100.52 : x
  2. Step 2: Convert to fraction form
    116.72/161.30 = 100.52/x
  3. Step 3: Cross multiply
    116.72x = 161.30 × 100.52
  4. Step 4: Simplify right side
    116.72x = 16,213.37
  5. Step 5: Solve for x
    x = 16,213.37/116.72
  6. Step 6: Final answer
    x = 138.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.