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Finding the Fourth Proportional to 116.40, 173.77 and 105.20

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Solution

The fourth proportional to 116.40, 173.77 and 105.20 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 173.77 = 105.20 : x
  2. Step 2: Convert to fraction form
    116.40/173.77 = 105.20/x
  3. Step 3: Cross multiply
    116.40x = 173.77 × 105.20
  4. Step 4: Simplify right side
    116.40x = 18,280.60
  5. Step 5: Solve for x
    x = 18,280.60/116.40
  6. Step 6: Final answer
    x = 157.05

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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.