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Finding the Fourth Proportional to 156.08, 233.94 and 107.84

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Solution

The fourth proportional to 156.08, 233.94 and 107.84 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.08 : 233.94 = 107.84 : x
  2. Step 2: Convert to fraction form
    156.08/233.94 = 107.84/x
  3. Step 3: Cross multiply
    156.08x = 233.94 × 107.84
  4. Step 4: Simplify right side
    156.08x = 25,228.09
  5. Step 5: Solve for x
    x = 25,228.09/156.08
  6. Step 6: Final answer
    x = 161.64

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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.