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Finding the Fourth Proportional to 130.66, 195.72 and 96.22

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Solution

The fourth proportional to 130.66, 195.72 and 96.22 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 195.72 = 96.22 : x
  2. Step 2: Convert to fraction form
    130.66/195.72 = 96.22/x
  3. Step 3: Cross multiply
    130.66x = 195.72 × 96.22
  4. Step 4: Simplify right side
    130.66x = 18,832.18
  5. Step 5: Solve for x
    x = 18,832.18/130.66
  6. Step 6: Final answer
    x = 144.13

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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.