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Finding the Fourth Proportional to 115.94, 174.14 and 99.68

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Solution

The fourth proportional to 115.94, 174.14 and 99.68 is: 149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.94 : 174.14 = 99.68 : x
  2. Step 2: Convert to fraction form
    115.94/174.14 = 99.68/x
  3. Step 3: Cross multiply
    115.94x = 174.14 × 99.68
  4. Step 4: Simplify right side
    115.94x = 17,356.91
  5. Step 5: Solve for x
    x = 17,356.91/115.94
  6. Step 6: Final answer
    x = 149.71

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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.