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Finding the Fourth Proportional to 161.24, 242.01 and 125.56

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Solution

The fourth proportional to 161.24, 242.01 and 125.56 is: 188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.24 : 242.01 = 125.56 : x
  2. Step 2: Convert to fraction form
    161.24/242.01 = 125.56/x
  3. Step 3: Cross multiply
    161.24x = 242.01 × 125.56
  4. Step 4: Simplify right side
    161.24x = 30,385.88
  5. Step 5: Solve for x
    x = 30,385.88/161.24
  6. Step 6: Final answer
    x = 188.46

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