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Finding the Fourth Proportional to 156.36, 234.57 and 53.61

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Solution

The fourth proportional to 156.36, 234.57 and 53.61 is: 80.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.57 = 53.61 : x
  2. Step 2: Convert to fraction form
    156.36/234.57 = 53.61/x
  3. Step 3: Cross multiply
    156.36x = 234.57 × 53.61
  4. Step 4: Simplify right side
    156.36x = 12,575.30
  5. Step 5: Solve for x
    x = 12,575.30/156.36
  6. Step 6: Final answer
    x = 80.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.