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Finding the Fourth Proportional to 130.71, 195.05 and 122.91

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Solution

The fourth proportional to 130.71, 195.05 and 122.91 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.71 : 195.05 = 122.91 : x
  2. Step 2: Convert to fraction form
    130.71/195.05 = 122.91/x
  3. Step 3: Cross multiply
    130.71x = 195.05 × 122.91
  4. Step 4: Simplify right side
    130.71x = 23,972.98
  5. Step 5: Solve for x
    x = 23,972.98/130.71
  6. Step 6: Final answer
    x = 183.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.