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Finding the Fourth Proportional to 113.46, 156.63 and 76.65

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Solution

The fourth proportional to 113.46, 156.63 and 76.65 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.46 : 156.63 = 76.65 : x
  2. Step 2: Convert to fraction form
    113.46/156.63 = 76.65/x
  3. Step 3: Cross multiply
    113.46x = 156.63 × 76.65
  4. Step 4: Simplify right side
    113.46x = 12,005.69
  5. Step 5: Solve for x
    x = 12,005.69/113.46
  6. Step 6: Final answer
    x = 105.81

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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.