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Finding the Fourth Proportional to 361.63, 542.55 and 105.13

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Solution

The fourth proportional to 361.63, 542.55 and 105.13 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.63 : 542.55 = 105.13 : x
  2. Step 2: Convert to fraction form
    361.63/542.55 = 105.13/x
  3. Step 3: Cross multiply
    361.63x = 542.55 × 105.13
  4. Step 4: Simplify right side
    361.63x = 57,035.57
  5. Step 5: Solve for x
    x = 57,035.57/361.63
  6. Step 6: Final answer
    x = 157.72

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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.