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Finding the Fourth Proportional to 156.02, 233.74 and 107.27

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Solution

The fourth proportional to 156.02, 233.74 and 107.27 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 233.74 = 107.27 : x
  2. Step 2: Convert to fraction form
    156.02/233.74 = 107.27/x
  3. Step 3: Cross multiply
    156.02x = 233.74 × 107.27
  4. Step 4: Simplify right side
    156.02x = 25,073.29
  5. Step 5: Solve for x
    x = 25,073.29/156.02
  6. Step 6: Final answer
    x = 160.71

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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.