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Finding the Fourth Proportional to 130.93, 196.19 and 96.71

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Solution

The fourth proportional to 130.93, 196.19 and 96.71 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.93 : 196.19 = 96.71 : x
  2. Step 2: Convert to fraction form
    130.93/196.19 = 96.71/x
  3. Step 3: Cross multiply
    130.93x = 196.19 × 96.71
  4. Step 4: Simplify right side
    130.93x = 18,972.43
  5. Step 5: Solve for x
    x = 18,972.43/130.93
  6. Step 6: Final answer
    x = 144.91

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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.