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Finding the Fourth Proportional to 115.42, 172.88 and 54.49

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Solution

The fourth proportional to 115.42, 172.88 and 54.49 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.42 : 172.88 = 54.49 : x
  2. Step 2: Convert to fraction form
    115.42/172.88 = 54.49/x
  3. Step 3: Cross multiply
    115.42x = 172.88 × 54.49
  4. Step 4: Simplify right side
    115.42x = 9,420.36
  5. Step 5: Solve for x
    x = 9,420.36/115.42
  6. Step 6: Final answer
    x = 81.62

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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.