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Finding the Fourth Proportional to 115.25, 172.94 and 88.25

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Solution

The fourth proportional to 115.25, 172.94 and 88.25 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 172.94 = 88.25 : x
  2. Step 2: Convert to fraction form
    115.25/172.94 = 88.25/x
  3. Step 3: Cross multiply
    115.25x = 172.94 × 88.25
  4. Step 4: Simplify right side
    115.25x = 15,261.96
  5. Step 5: Solve for x
    x = 15,261.96/115.25
  6. Step 6: Final answer
    x = 132.42

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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.