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Finding the Fourth Proportional to 116.98, 161.37 and 87.82

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Solution

The fourth proportional to 116.98, 161.37 and 87.82 is: 121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 161.37 = 87.82 : x
  2. Step 2: Convert to fraction form
    116.98/161.37 = 87.82/x
  3. Step 3: Cross multiply
    116.98x = 161.37 × 87.82
  4. Step 4: Simplify right side
    116.98x = 14,171.51
  5. Step 5: Solve for x
    x = 14,171.51/116.98
  6. Step 6: Final answer
    x = 121.14

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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.