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Finding the Fourth Proportional to 156.78, 235.22 and 95.85

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Solution

The fourth proportional to 156.78, 235.22 and 95.85 is: 143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 235.22 = 95.85 : x
  2. Step 2: Convert to fraction form
    156.78/235.22 = 95.85/x
  3. Step 3: Cross multiply
    156.78x = 235.22 × 95.85
  4. Step 4: Simplify right side
    156.78x = 22,545.36
  5. Step 5: Solve for x
    x = 22,545.36/156.78
  6. Step 6: Final answer
    x = 143.80

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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.