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Finding the Fourth Proportional to 142.31, 213.29 and 65.28

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Solution

The fourth proportional to 142.31, 213.29 and 65.28 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 213.29 = 65.28 : x
  2. Step 2: Convert to fraction form
    142.31/213.29 = 65.28/x
  3. Step 3: Cross multiply
    142.31x = 213.29 × 65.28
  4. Step 4: Simplify right side
    142.31x = 13,923.46
  5. Step 5: Solve for x
    x = 13,923.46/142.31
  6. Step 6: Final answer
    x = 97.84

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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.