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Finding the Fourth Proportional to 130.11, 195.22 and 65.11

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Solution

The fourth proportional to 130.11, 195.22 and 65.11 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 195.22 = 65.11 : x
  2. Step 2: Convert to fraction form
    130.11/195.22 = 65.11/x
  3. Step 3: Cross multiply
    130.11x = 195.22 × 65.11
  4. Step 4: Simplify right side
    130.11x = 12,711.24
  5. Step 5: Solve for x
    x = 12,711.24/130.11
  6. Step 6: Final answer
    x = 97.70

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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.