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Finding the Fourth Proportional to 361.97, 542.96 and 88.06

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Solution

The fourth proportional to 361.97, 542.96 and 88.06 is: 132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 542.96 = 88.06 : x
  2. Step 2: Convert to fraction form
    361.97/542.96 = 88.06/x
  3. Step 3: Cross multiply
    361.97x = 542.96 × 88.06
  4. Step 4: Simplify right side
    361.97x = 47,812.62
  5. Step 5: Solve for x
    x = 47,812.62/361.97
  6. Step 6: Final answer
    x = 132.09

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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.