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Finding the Fourth Proportional to 156.92, 235.38 and 47.24

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Solution

The fourth proportional to 156.92, 235.38 and 47.24 is: 70.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 235.38 = 47.24 : x
  2. Step 2: Convert to fraction form
    156.92/235.38 = 47.24/x
  3. Step 3: Cross multiply
    156.92x = 235.38 × 47.24
  4. Step 4: Simplify right side
    156.92x = 11,118.35
  5. Step 5: Solve for x
    x = 11,118.35/156.92
  6. Step 6: Final answer
    x = 70.85

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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.