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Finding the Fourth Proportional to 175.71, 242.43 and 105.71

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Solution

The fourth proportional to 175.71, 242.43 and 105.71 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 242.43 = 105.71 : x
  2. Step 2: Convert to fraction form
    175.71/242.43 = 105.71/x
  3. Step 3: Cross multiply
    175.71x = 242.43 × 105.71
  4. Step 4: Simplify right side
    175.71x = 25,626.06
  5. Step 5: Solve for x
    x = 25,626.06/175.71
  6. Step 6: Final answer
    x = 145.84

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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.