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Finding the Fourth Proportional to 116.07, 174.18 and 105.89

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Solution

The fourth proportional to 116.07, 174.18 and 105.89 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 174.18 = 105.89 : x
  2. Step 2: Convert to fraction form
    116.07/174.18 = 105.89/x
  3. Step 3: Cross multiply
    116.07x = 174.18 × 105.89
  4. Step 4: Simplify right side
    116.07x = 18,443.05
  5. Step 5: Solve for x
    x = 18,443.05/116.07
  6. Step 6: Final answer
    x = 158.90

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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.