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Finding the Fourth Proportional to 149.63, 224.52 and 57.14

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Solution

The fourth proportional to 149.63, 224.52 and 57.14 is: 85.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 224.52 = 57.14 : x
  2. Step 2: Convert to fraction form
    149.63/224.52 = 57.14/x
  3. Step 3: Cross multiply
    149.63x = 224.52 × 57.14
  4. Step 4: Simplify right side
    149.63x = 12,829.07
  5. Step 5: Solve for x
    x = 12,829.07/149.63
  6. Step 6: Final answer
    x = 85.74

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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.