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Finding the Fourth Proportional to 175.70, 242.43 and 105.74

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Solution

The fourth proportional to 175.70, 242.43 and 105.74 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 242.43 = 105.74 : x
  2. Step 2: Convert to fraction form
    175.70/242.43 = 105.74/x
  3. Step 3: Cross multiply
    175.70x = 242.43 × 105.74
  4. Step 4: Simplify right side
    175.70x = 25,634.55
  5. Step 5: Solve for x
    x = 25,634.55/175.70
  6. Step 6: Final answer
    x = 145.90

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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.