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Finding the Fourth Proportional to 116.11, 173.85 and 99.55

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Solution

The fourth proportional to 116.11, 173.85 and 99.55 is: 149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.11 : 173.85 = 99.55 : x
  2. Step 2: Convert to fraction form
    116.11/173.85 = 99.55/x
  3. Step 3: Cross multiply
    116.11x = 173.85 × 99.55
  4. Step 4: Simplify right side
    116.11x = 17,307.10
  5. Step 5: Solve for x
    x = 17,307.10/116.11
  6. Step 6: Final answer
    x = 149.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.