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Finding the Fourth Proportional to 156.72, 234.89 and 75.46

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Solution

The fourth proportional to 156.72, 234.89 and 75.46 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 234.89 = 75.46 : x
  2. Step 2: Convert to fraction form
    156.72/234.89 = 75.46/x
  3. Step 3: Cross multiply
    156.72x = 234.89 × 75.46
  4. Step 4: Simplify right side
    156.72x = 17,724.80
  5. Step 5: Solve for x
    x = 17,724.80/156.72
  6. Step 6: Final answer
    x = 113.10

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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.