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Finding the Fourth Proportional to 156.85, 216.47 and 86.92

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Solution

The fourth proportional to 156.85, 216.47 and 86.92 is: 119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.85 : 216.47 = 86.92 : x
  2. Step 2: Convert to fraction form
    156.85/216.47 = 86.92/x
  3. Step 3: Cross multiply
    156.85x = 216.47 × 86.92
  4. Step 4: Simplify right side
    156.85x = 18,814.06
  5. Step 5: Solve for x
    x = 18,814.06/156.85
  6. Step 6: Final answer
    x = 119.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.