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Finding the Fourth Proportional to 116.05, 160.06 and 79.14

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Solution

The fourth proportional to 116.05, 160.06 and 79.14 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 160.06 = 79.14 : x
  2. Step 2: Convert to fraction form
    116.05/160.06 = 79.14/x
  3. Step 3: Cross multiply
    116.05x = 160.06 × 79.14
  4. Step 4: Simplify right side
    116.05x = 12,667.70
  5. Step 5: Solve for x
    x = 12,667.70/116.05
  6. Step 6: Final answer
    x = 109.16

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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.