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Finding the Fourth Proportional to 115.44, 172.82 and 78.80

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Solution

The fourth proportional to 115.44, 172.82 and 78.80 is: 117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.44 : 172.82 = 78.80 : x
  2. Step 2: Convert to fraction form
    115.44/172.82 = 78.80/x
  3. Step 3: Cross multiply
    115.44x = 172.82 × 78.80
  4. Step 4: Simplify right side
    115.44x = 13,616.96
  5. Step 5: Solve for x
    x = 13,616.96/115.44
  6. Step 6: Final answer
    x = 117.96

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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.