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Finding the Fourth Proportional to 130.66, 195.64 and 100.08

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Solution

The fourth proportional to 130.66, 195.64 and 100.08 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 195.64 = 100.08 : x
  2. Step 2: Convert to fraction form
    130.66/195.64 = 100.08/x
  3. Step 3: Cross multiply
    130.66x = 195.64 × 100.08
  4. Step 4: Simplify right side
    130.66x = 19,579.65
  5. Step 5: Solve for x
    x = 19,579.65/130.66
  6. Step 6: Final answer
    x = 149.85

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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.