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Finding the Fourth Proportional to 115.15, 172.59 and 63.82

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Solution

The fourth proportional to 115.15, 172.59 and 63.82 is: 95.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.15 : 172.59 = 63.82 : x
  2. Step 2: Convert to fraction form
    115.15/172.59 = 63.82/x
  3. Step 3: Cross multiply
    115.15x = 172.59 × 63.82
  4. Step 4: Simplify right side
    115.15x = 11,014.69
  5. Step 5: Solve for x
    x = 11,014.69/115.15
  6. Step 6: Final answer
    x = 95.66

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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.