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Finding the Fourth Proportional to 175.43, 242.09 and 97.80

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Solution

The fourth proportional to 175.43, 242.09 and 97.80 is: 134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.43 : 242.09 = 97.80 : x
  2. Step 2: Convert to fraction form
    175.43/242.09 = 97.80/x
  3. Step 3: Cross multiply
    175.43x = 242.09 × 97.80
  4. Step 4: Simplify right side
    175.43x = 23,677.83
  5. Step 5: Solve for x
    x = 23,677.83/175.43
  6. Step 6: Final answer
    x = 134.97

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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.