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Finding the Fourth Proportional to 116.40, 160.89 and 97.98

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Solution

The fourth proportional to 116.40, 160.89 and 97.98 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 160.89 = 97.98 : x
  2. Step 2: Convert to fraction form
    116.40/160.89 = 97.98/x
  3. Step 3: Cross multiply
    116.40x = 160.89 × 97.98
  4. Step 4: Simplify right side
    116.40x = 15,764.00
  5. Step 5: Solve for x
    x = 15,764.00/116.40
  6. Step 6: Final answer
    x = 135.43

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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.