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Finding the Fourth Proportional to 175.76, 242.52 and 106.76

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Solution

The fourth proportional to 175.76, 242.52 and 106.76 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.76 : 242.52 = 106.76 : x
  2. Step 2: Convert to fraction form
    175.76/242.52 = 106.76/x
  3. Step 3: Cross multiply
    175.76x = 242.52 × 106.76
  4. Step 4: Simplify right side
    175.76x = 25,891.44
  5. Step 5: Solve for x
    x = 25,891.44/175.76
  6. Step 6: Final answer
    x = 147.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.