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Finding the Fourth Proportional to 156.62, 215.97 and 107.57

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Solution

The fourth proportional to 156.62, 215.97 and 107.57 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.62 : 215.97 = 107.57 : x
  2. Step 2: Convert to fraction form
    156.62/215.97 = 107.57/x
  3. Step 3: Cross multiply
    156.62x = 215.97 × 107.57
  4. Step 4: Simplify right side
    156.62x = 23,231.89
  5. Step 5: Solve for x
    x = 23,231.89/156.62
  6. Step 6: Final answer
    x = 148.33

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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.