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Finding the Fourth Proportional to 115.79, 174.47 and 95.94

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Solution

The fourth proportional to 115.79, 174.47 and 95.94 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 174.47 = 95.94 : x
  2. Step 2: Convert to fraction form
    115.79/174.47 = 95.94/x
  3. Step 3: Cross multiply
    115.79x = 174.47 × 95.94
  4. Step 4: Simplify right side
    115.79x = 16,738.17
  5. Step 5: Solve for x
    x = 16,738.17/115.79
  6. Step 6: Final answer
    x = 144.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.