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Finding the Fourth Proportional to 142.47, 214.11 and 97.09

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Solution

The fourth proportional to 142.47, 214.11 and 97.09 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.47 : 214.11 = 97.09 : x
  2. Step 2: Convert to fraction form
    142.47/214.11 = 97.09/x
  3. Step 3: Cross multiply
    142.47x = 214.11 × 97.09
  4. Step 4: Simplify right side
    142.47x = 20,787.94
  5. Step 5: Solve for x
    x = 20,787.94/142.47
  6. Step 6: Final answer
    x = 145.91

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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.