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Finding the Fourth Proportional to 113.63, 156.65 and 76.73

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Solution

The fourth proportional to 113.63, 156.65 and 76.73 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 156.65 = 76.73 : x
  2. Step 2: Convert to fraction form
    113.63/156.65 = 76.73/x
  3. Step 3: Cross multiply
    113.63x = 156.65 × 76.73
  4. Step 4: Simplify right side
    113.63x = 12,018.59
  5. Step 5: Solve for x
    x = 12,018.59/113.63
  6. Step 6: Final answer
    x = 105.77

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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.