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Finding the Fourth Proportional to 116.29, 160.44 and 72.61

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Solution

The fourth proportional to 116.29, 160.44 and 72.61 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 160.44 = 72.61 : x
  2. Step 2: Convert to fraction form
    116.29/160.44 = 72.61/x
  3. Step 3: Cross multiply
    116.29x = 160.44 × 72.61
  4. Step 4: Simplify right side
    116.29x = 11,649.55
  5. Step 5: Solve for x
    x = 11,649.55/116.29
  6. Step 6: Final answer
    x = 100.18

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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.