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Finding the Fourth Proportional to 362.63, 544.03 and 106.13

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Solution

The fourth proportional to 362.63, 544.03 and 106.13 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 544.03 = 106.13 : x
  2. Step 2: Convert to fraction form
    362.63/544.03 = 106.13/x
  3. Step 3: Cross multiply
    362.63x = 544.03 × 106.13
  4. Step 4: Simplify right side
    362.63x = 57,735.18
  5. Step 5: Solve for x
    x = 57,735.18/362.63
  6. Step 6: Final answer
    x = 159.21

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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.