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Finding the Fourth Proportional to 113.22, 156.32 and 77.82

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Solution

The fourth proportional to 113.22, 156.32 and 77.82 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 156.32 = 77.82 : x
  2. Step 2: Convert to fraction form
    113.22/156.32 = 77.82/x
  3. Step 3: Cross multiply
    113.22x = 156.32 × 77.82
  4. Step 4: Simplify right side
    113.22x = 12,164.43
  5. Step 5: Solve for x
    x = 12,164.43/113.22
  6. Step 6: Final answer
    x = 107.44

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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.