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Finding the Fourth Proportional to 175.38, 242.01 and 97.75

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Solution

The fourth proportional to 175.38, 242.01 and 97.75 is: 134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 242.01 = 97.75 : x
  2. Step 2: Convert to fraction form
    175.38/242.01 = 97.75/x
  3. Step 3: Cross multiply
    175.38x = 242.01 × 97.75
  4. Step 4: Simplify right side
    175.38x = 23,656.48
  5. Step 5: Solve for x
    x = 23,656.48/175.38
  6. Step 6: Final answer
    x = 134.89

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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.