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Finding the Fourth Proportional to 116.14, 160.32 and 77.38

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Solution

The fourth proportional to 116.14, 160.32 and 77.38 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.32 = 77.38 : x
  2. Step 2: Convert to fraction form
    116.14/160.32 = 77.38/x
  3. Step 3: Cross multiply
    116.14x = 160.32 × 77.38
  4. Step 4: Simplify right side
    116.14x = 12,405.56
  5. Step 5: Solve for x
    x = 12,405.56/116.14
  6. Step 6: Final answer
    x = 106.82

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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.