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Finding the Fourth Proportional to 116.34, 160.11 and 98.16

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Solution

The fourth proportional to 116.34, 160.11 and 98.16 is: 135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 160.11 = 98.16 : x
  2. Step 2: Convert to fraction form
    116.34/160.11 = 98.16/x
  3. Step 3: Cross multiply
    116.34x = 160.11 × 98.16
  4. Step 4: Simplify right side
    116.34x = 15,716.40
  5. Step 5: Solve for x
    x = 15,716.40/116.34
  6. Step 6: Final answer
    x = 135.09

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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.