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Finding the Fourth Proportional to 156.22, 234.24 and 53.50

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Solution

The fourth proportional to 156.22, 234.24 and 53.50 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.22 : 234.24 = 53.50 : x
  2. Step 2: Convert to fraction form
    156.22/234.24 = 53.50/x
  3. Step 3: Cross multiply
    156.22x = 234.24 × 53.50
  4. Step 4: Simplify right side
    156.22x = 12,531.05
  5. Step 5: Solve for x
    x = 12,531.05/156.22
  6. Step 6: Final answer
    x = 80.21

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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.