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Finding the Fourth Proportional to 116.56, 160.83 and 99.14

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Solution

The fourth proportional to 116.56, 160.83 and 99.14 is: 136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 160.83 = 99.14 : x
  2. Step 2: Convert to fraction form
    116.56/160.83 = 99.14/x
  3. Step 3: Cross multiply
    116.56x = 160.83 × 99.14
  4. Step 4: Simplify right side
    116.56x = 15,944.69
  5. Step 5: Solve for x
    x = 15,944.69/116.56
  6. Step 6: Final answer
    x = 136.80

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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.