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Finding the Fourth Proportional to 142.97, 214.46 and 70.82

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Solution

The fourth proportional to 142.97, 214.46 and 70.82 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.97 : 214.46 = 70.82 : x
  2. Step 2: Convert to fraction form
    142.97/214.46 = 70.82/x
  3. Step 3: Cross multiply
    142.97x = 214.46 × 70.82
  4. Step 4: Simplify right side
    142.97x = 15,187.16
  5. Step 5: Solve for x
    x = 15,187.16/142.97
  6. Step 6: Final answer
    x = 106.22

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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.