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Finding the Fourth Proportional to 175.81, 242.51 and 106.81

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Solution

The fourth proportional to 175.81, 242.51 and 106.81 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.81 : 242.51 = 106.81 : x
  2. Step 2: Convert to fraction form
    175.81/242.51 = 106.81/x
  3. Step 3: Cross multiply
    175.81x = 242.51 × 106.81
  4. Step 4: Simplify right side
    175.81x = 25,901.96
  5. Step 5: Solve for x
    x = 25,901.96/175.81
  6. Step 6: Final answer
    x = 147.33

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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.