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Finding the Fourth Proportional to 116.42, 160.61 and 79.61

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Solution

The fourth proportional to 116.42, 160.61 and 79.61 is: 109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 160.61 = 79.61 : x
  2. Step 2: Convert to fraction form
    116.42/160.61 = 79.61/x
  3. Step 3: Cross multiply
    116.42x = 160.61 × 79.61
  4. Step 4: Simplify right side
    116.42x = 12,784.96
  5. Step 5: Solve for x
    x = 12,784.96/116.42
  6. Step 6: Final answer
    x = 109.82

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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.