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Finding the Fourth Proportional to 141.76, 195.50 and 123.31

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Solution

The fourth proportional to 141.76, 195.50 and 123.31 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 195.50 = 123.31 : x
  2. Step 2: Convert to fraction form
    141.76/195.50 = 123.31/x
  3. Step 3: Cross multiply
    141.76x = 195.50 × 123.31
  4. Step 4: Simplify right side
    141.76x = 24,105.51
  5. Step 5: Solve for x
    x = 24,105.51/141.76
  6. Step 6: Final answer
    x = 170.05

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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.