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Finding the Fourth Proportional to 141.80, 195.30 and 114.12

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Solution

The fourth proportional to 141.80, 195.30 and 114.12 is: 157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 195.30 = 114.12 : x
  2. Step 2: Convert to fraction form
    141.80/195.30 = 114.12/x
  3. Step 3: Cross multiply
    141.80x = 195.30 × 114.12
  4. Step 4: Simplify right side
    141.80x = 22,287.64
  5. Step 5: Solve for x
    x = 22,287.64/141.80
  6. Step 6: Final answer
    x = 157.18

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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.