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Finding the Fourth Proportional to 116.98, 161.26 and 116.24

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Solution

The fourth proportional to 116.98, 161.26 and 116.24 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 161.26 = 116.24 : x
  2. Step 2: Convert to fraction form
    116.98/161.26 = 116.24/x
  3. Step 3: Cross multiply
    116.98x = 161.26 × 116.24
  4. Step 4: Simplify right side
    116.98x = 18,743.77
  5. Step 5: Solve for x
    x = 18,743.77/116.98
  6. Step 6: Final answer
    x = 160.23

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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.