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Finding the Fourth Proportional to 149.93, 224.96 and 53.81

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Solution

The fourth proportional to 149.93, 224.96 and 53.81 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 224.96 = 53.81 : x
  2. Step 2: Convert to fraction form
    149.93/224.96 = 53.81/x
  3. Step 3: Cross multiply
    149.93x = 224.96 × 53.81
  4. Step 4: Simplify right side
    149.93x = 12,105.10
  5. Step 5: Solve for x
    x = 12,105.10/149.93
  6. Step 6: Final answer
    x = 80.74

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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.