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Finding the Fourth Proportional to 175.94, 242.68 and 108.62

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Solution

The fourth proportional to 175.94, 242.68 and 108.62 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 242.68 = 108.62 : x
  2. Step 2: Convert to fraction form
    175.94/242.68 = 108.62/x
  3. Step 3: Cross multiply
    175.94x = 242.68 × 108.62
  4. Step 4: Simplify right side
    175.94x = 26,359.53
  5. Step 5: Solve for x
    x = 26,359.53/175.94
  6. Step 6: Final answer
    x = 149.82

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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.