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Finding the Fourth Proportional to 116.17, 173.48 and 98.84

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Solution

The fourth proportional to 116.17, 173.48 and 98.84 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 173.48 = 98.84 : x
  2. Step 2: Convert to fraction form
    116.17/173.48 = 98.84/x
  3. Step 3: Cross multiply
    116.17x = 173.48 × 98.84
  4. Step 4: Simplify right side
    116.17x = 17,146.70
  5. Step 5: Solve for x
    x = 17,146.70/116.17
  6. Step 6: Final answer
    x = 147.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.