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Finding the Fourth Proportional to 156.80, 216.24 and 105.04

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Solution

The fourth proportional to 156.80, 216.24 and 105.04 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 216.24 = 105.04 : x
  2. Step 2: Convert to fraction form
    156.80/216.24 = 105.04/x
  3. Step 3: Cross multiply
    156.80x = 216.24 × 105.04
  4. Step 4: Simplify right side
    156.80x = 22,713.85
  5. Step 5: Solve for x
    x = 22,713.85/156.80
  6. Step 6: Final answer
    x = 144.86

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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.