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Finding the Fourth Proportional to 141.65, 195.66 and 109.30

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Solution

The fourth proportional to 141.65, 195.66 and 109.30 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.65 : 195.66 = 109.30 : x
  2. Step 2: Convert to fraction form
    141.65/195.66 = 109.30/x
  3. Step 3: Cross multiply
    141.65x = 195.66 × 109.30
  4. Step 4: Simplify right side
    141.65x = 21,385.64
  5. Step 5: Solve for x
    x = 21,385.64/141.65
  6. Step 6: Final answer
    x = 150.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.