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Finding the Fourth Proportional to 156.30, 234.09 and 75.19

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Solution

The fourth proportional to 156.30, 234.09 and 75.19 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.30 : 234.09 = 75.19 : x
  2. Step 2: Convert to fraction form
    156.30/234.09 = 75.19/x
  3. Step 3: Cross multiply
    156.30x = 234.09 × 75.19
  4. Step 4: Simplify right side
    156.30x = 17,601.23
  5. Step 5: Solve for x
    x = 17,601.23/156.30
  6. Step 6: Final answer
    x = 112.61

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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.