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Finding the Fourth Proportional to 114.83, 173.12 and 96.92

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Solution

The fourth proportional to 114.83, 173.12 and 96.92 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 173.12 = 96.92 : x
  2. Step 2: Convert to fraction form
    114.83/173.12 = 96.92/x
  3. Step 3: Cross multiply
    114.83x = 173.12 × 96.92
  4. Step 4: Simplify right side
    114.83x = 16,778.79
  5. Step 5: Solve for x
    x = 16,778.79/114.83
  6. Step 6: Final answer
    x = 146.12

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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.