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Finding the Fourth Proportional to 142.32, 213.30 and 91.02

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Solution

The fourth proportional to 142.32, 213.30 and 91.02 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.30 = 91.02 : x
  2. Step 2: Convert to fraction form
    142.32/213.30 = 91.02/x
  3. Step 3: Cross multiply
    142.32x = 213.30 × 91.02
  4. Step 4: Simplify right side
    142.32x = 19,414.57
  5. Step 5: Solve for x
    x = 19,414.57/142.32
  6. Step 6: Final answer
    x = 136.41

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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.