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Finding the Fourth Proportional to 116.48, 173.80 and 115.80

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Solution

The fourth proportional to 116.48, 173.80 and 115.80 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 173.80 = 115.80 : x
  2. Step 2: Convert to fraction form
    116.48/173.80 = 115.80/x
  3. Step 3: Cross multiply
    116.48x = 173.80 × 115.80
  4. Step 4: Simplify right side
    116.48x = 20,126.04
  5. Step 5: Solve for x
    x = 20,126.04/116.48
  6. Step 6: Final answer
    x = 172.79

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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.