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Finding the Fourth Proportional to 116.07, 173.28 and 99.82

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Solution

The fourth proportional to 116.07, 173.28 and 99.82 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 173.28 = 99.82 : x
  2. Step 2: Convert to fraction form
    116.07/173.28 = 99.82/x
  3. Step 3: Cross multiply
    116.07x = 173.28 × 99.82
  4. Step 4: Simplify right side
    116.07x = 17,296.81
  5. Step 5: Solve for x
    x = 17,296.81/116.07
  6. Step 6: Final answer
    x = 149.02

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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.