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Finding the Fourth Proportional to 142.63, 213.87 and 91.25

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Solution

The fourth proportional to 142.63, 213.87 and 91.25 is: 136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 213.87 = 91.25 : x
  2. Step 2: Convert to fraction form
    142.63/213.87 = 91.25/x
  3. Step 3: Cross multiply
    142.63x = 213.87 × 91.25
  4. Step 4: Simplify right side
    142.63x = 19,515.71
  5. Step 5: Solve for x
    x = 19,515.71/142.63
  6. Step 6: Final answer
    x = 136.82

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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.