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Finding the Fourth Proportional to 362.59, 543.89 and 106.09

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Solution

The fourth proportional to 362.59, 543.89 and 106.09 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.59 : 543.89 = 106.09 : x
  2. Step 2: Convert to fraction form
    362.59/543.89 = 106.09/x
  3. Step 3: Cross multiply
    362.59x = 543.89 × 106.09
  4. Step 4: Simplify right side
    362.59x = 57,700.76
  5. Step 5: Solve for x
    x = 57,700.76/362.59
  6. Step 6: Final answer
    x = 159.14

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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.