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Finding the Fourth Proportional to 156.78, 216.35 and 86.84

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Solution

The fourth proportional to 156.78, 216.35 and 86.84 is: 119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 216.35 = 86.84 : x
  2. Step 2: Convert to fraction form
    156.78/216.35 = 86.84/x
  3. Step 3: Cross multiply
    156.78x = 216.35 × 86.84
  4. Step 4: Simplify right side
    156.78x = 18,787.46
  5. Step 5: Solve for x
    x = 18,787.46/156.78
  6. Step 6: Final answer
    x = 119.83

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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.