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Finding the Fourth Proportional to 175.39, 242.02 and 97.75

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Solution

The fourth proportional to 175.39, 242.02 and 97.75 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.39 : 242.02 = 97.75 : x
  2. Step 2: Convert to fraction form
    175.39/242.02 = 97.75/x
  3. Step 3: Cross multiply
    175.39x = 242.02 × 97.75
  4. Step 4: Simplify right side
    175.39x = 23,656.49
  5. Step 5: Solve for x
    x = 23,656.49/175.39
  6. Step 6: Final answer
    x = 134.88

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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.