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Finding the Fourth Proportional to 156.62, 234.91 and 53.84

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Solution

The fourth proportional to 156.62, 234.91 and 53.84 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.62 : 234.91 = 53.84 : x
  2. Step 2: Convert to fraction form
    156.62/234.91 = 53.84/x
  3. Step 3: Cross multiply
    156.62x = 234.91 × 53.84
  4. Step 4: Simplify right side
    156.62x = 12,646.25
  5. Step 5: Solve for x
    x = 12,646.25/156.62
  6. Step 6: Final answer
    x = 80.75

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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.