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Finding the Fourth Proportional to 116.13, 173.86 and 75.05

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Solution

The fourth proportional to 116.13, 173.86 and 75.05 is: 112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.13 : 173.86 = 75.05 : x
  2. Step 2: Convert to fraction form
    116.13/173.86 = 75.05/x
  3. Step 3: Cross multiply
    116.13x = 173.86 × 75.05
  4. Step 4: Simplify right side
    116.13x = 13,048.19
  5. Step 5: Solve for x
    x = 13,048.19/116.13
  6. Step 6: Final answer
    x = 112.36

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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.