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Finding the Fourth Proportional to 175.45, 262.84 and 106.77

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Solution

The fourth proportional to 175.45, 262.84 and 106.77 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.45 : 262.84 = 106.77 : x
  2. Step 2: Convert to fraction form
    175.45/262.84 = 106.77/x
  3. Step 3: Cross multiply
    175.45x = 262.84 × 106.77
  4. Step 4: Simplify right side
    175.45x = 28,063.43
  5. Step 5: Solve for x
    x = 28,063.43/175.45
  6. Step 6: Final answer
    x = 159.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.