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Finding the Fourth Proportional to 175.56, 242.23 and 100.85

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Solution

The fourth proportional to 175.56, 242.23 and 100.85 is: 139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 242.23 = 100.85 : x
  2. Step 2: Convert to fraction form
    175.56/242.23 = 100.85/x
  3. Step 3: Cross multiply
    175.56x = 242.23 × 100.85
  4. Step 4: Simplify right side
    175.56x = 24,429.25
  5. Step 5: Solve for x
    x = 24,429.25/175.56
  6. Step 6: Final answer
    x = 139.15

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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.