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Finding the Fourth Proportional to 156.43, 215.85 and 97.42

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Solution

The fourth proportional to 156.43, 215.85 and 97.42 is: 134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.43 : 215.85 = 97.42 : x
  2. Step 2: Convert to fraction form
    156.43/215.85 = 97.42/x
  3. Step 3: Cross multiply
    156.43x = 215.85 × 97.42
  4. Step 4: Simplify right side
    156.43x = 21,028.34
  5. Step 5: Solve for x
    x = 21,028.34/156.43
  6. Step 6: Final answer
    x = 134.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.