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Finding the Fourth Proportional to 115.34, 173.14 and 81

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Solution

The fourth proportional to 115.34, 173.14 and 81 is: 121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.34 : 173.14 = 81 : x
  2. Step 2: Convert to fraction form
    115.34/173.14 = 81/x
  3. Step 3: Cross multiply
    115.34x = 173.14 × 81
  4. Step 4: Simplify right side
    115.34x = 14,024.14
  5. Step 5: Solve for x
    x = 14,024.14/115.34
  6. Step 6: Final answer
    x = 121.59

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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.