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Finding the Fourth Proportional to 156.08, 233.22 and 107.60

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Solution

The fourth proportional to 156.08, 233.22 and 107.60 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.08 : 233.22 = 107.60 : x
  2. Step 2: Convert to fraction form
    156.08/233.22 = 107.60/x
  3. Step 3: Cross multiply
    156.08x = 233.22 × 107.60
  4. Step 4: Simplify right side
    156.08x = 25,094.47
  5. Step 5: Solve for x
    x = 25,094.47/156.08
  6. Step 6: Final answer
    x = 160.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.