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Finding the Fourth Proportional to 113.49, 156.67 and 76.67

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Solution

The fourth proportional to 113.49, 156.67 and 76.67 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.49 : 156.67 = 76.67 : x
  2. Step 2: Convert to fraction form
    113.49/156.67 = 76.67/x
  3. Step 3: Cross multiply
    113.49x = 156.67 × 76.67
  4. Step 4: Simplify right side
    113.49x = 12,012.28
  5. Step 5: Solve for x
    x = 12,012.28/113.49
  6. Step 6: Final answer
    x = 105.84

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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.