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Finding the Fourth Proportional to 113.23, 156.21 and 78.24

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Solution

The fourth proportional to 113.23, 156.21 and 78.24 is: 107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.23 : 156.21 = 78.24 : x
  2. Step 2: Convert to fraction form
    113.23/156.21 = 78.24/x
  3. Step 3: Cross multiply
    113.23x = 156.21 × 78.24
  4. Step 4: Simplify right side
    113.23x = 12,221.87
  5. Step 5: Solve for x
    x = 12,221.87/113.23
  6. Step 6: Final answer
    x = 107.94

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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.