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Finding the Fourth Proportional to 156.27, 234.21 and 64.92

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Solution

The fourth proportional to 156.27, 234.21 and 64.92 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.27 : 234.21 = 64.92 : x
  2. Step 2: Convert to fraction form
    156.27/234.21 = 64.92/x
  3. Step 3: Cross multiply
    156.27x = 234.21 × 64.92
  4. Step 4: Simplify right side
    156.27x = 15,204.91
  5. Step 5: Solve for x
    x = 15,204.91/156.27
  6. Step 6: Final answer
    x = 97.30

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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.