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Finding the Fourth Proportional to 156.28, 234.12 and 75.02

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Solution

The fourth proportional to 156.28, 234.12 and 75.02 is: 112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.28 : 234.12 = 75.02 : x
  2. Step 2: Convert to fraction form
    156.28/234.12 = 75.02/x
  3. Step 3: Cross multiply
    156.28x = 234.12 × 75.02
  4. Step 4: Simplify right side
    156.28x = 17,563.68
  5. Step 5: Solve for x
    x = 17,563.68/156.28
  6. Step 6: Final answer
    x = 112.39

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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.