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Finding the Fourth Proportional to 130.40, 195.22 and 100.12

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Solution

The fourth proportional to 130.40, 195.22 and 100.12 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 195.22 = 100.12 : x
  2. Step 2: Convert to fraction form
    130.40/195.22 = 100.12/x
  3. Step 3: Cross multiply
    130.40x = 195.22 × 100.12
  4. Step 4: Simplify right side
    130.40x = 19,545.43
  5. Step 5: Solve for x
    x = 19,545.43/130.40
  6. Step 6: Final answer
    x = 149.89

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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.