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Finding the Fourth Proportional to 175.46, 242.14 and 97.84

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Solution

The fourth proportional to 175.46, 242.14 and 97.84 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.46 : 242.14 = 97.84 : x
  2. Step 2: Convert to fraction form
    175.46/242.14 = 97.84/x
  3. Step 3: Cross multiply
    175.46x = 242.14 × 97.84
  4. Step 4: Simplify right side
    175.46x = 23,690.98
  5. Step 5: Solve for x
    x = 23,690.98/175.46
  6. Step 6: Final answer
    x = 135.02

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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.