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Finding the Fourth Proportional to 113.68, 156.81 and 78.67

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Solution

The fourth proportional to 113.68, 156.81 and 78.67 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 156.81 = 78.67 : x
  2. Step 2: Convert to fraction form
    113.68/156.81 = 78.67/x
  3. Step 3: Cross multiply
    113.68x = 156.81 × 78.67
  4. Step 4: Simplify right side
    113.68x = 12,336.24
  5. Step 5: Solve for x
    x = 12,336.24/113.68
  6. Step 6: Final answer
    x = 108.52

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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.