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Finding the Fourth Proportional to 175.38, 242.02 and 97.76

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Solution

The fourth proportional to 175.38, 242.02 and 97.76 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 242.02 = 97.76 : x
  2. Step 2: Convert to fraction form
    175.38/242.02 = 97.76/x
  3. Step 3: Cross multiply
    175.38x = 242.02 × 97.76
  4. Step 4: Simplify right side
    175.38x = 23,659.88
  5. Step 5: Solve for x
    x = 23,659.88/175.38
  6. Step 6: Final answer
    x = 134.91

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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.