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Finding the Fourth Proportional to 116.14, 160.26 and 67.02

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Solution

The fourth proportional to 116.14, 160.26 and 67.02 is: 92.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.26 = 67.02 : x
  2. Step 2: Convert to fraction form
    116.14/160.26 = 67.02/x
  3. Step 3: Cross multiply
    116.14x = 160.26 × 67.02
  4. Step 4: Simplify right side
    116.14x = 10,739.82
  5. Step 5: Solve for x
    x = 10,739.82/116.14
  6. Step 6: Final answer
    x = 92.47

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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.