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Finding the Fourth Proportional to 361.56, 542.43 and 105.06

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Solution

The fourth proportional to 361.56, 542.43 and 105.06 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 542.43 = 105.06 : x
  2. Step 2: Convert to fraction form
    361.56/542.43 = 105.06/x
  3. Step 3: Cross multiply
    361.56x = 542.43 × 105.06
  4. Step 4: Simplify right side
    361.56x = 56,987.70
  5. Step 5: Solve for x
    x = 56,987.70/361.56
  6. Step 6: Final answer
    x = 157.62

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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.