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Finding the Fourth Proportional to 113.14, 156.09 and 76.29

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Solution

The fourth proportional to 113.14, 156.09 and 76.29 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.14 : 156.09 = 76.29 : x
  2. Step 2: Convert to fraction form
    113.14/156.09 = 76.29/x
  3. Step 3: Cross multiply
    113.14x = 156.09 × 76.29
  4. Step 4: Simplify right side
    113.14x = 11,908.11
  5. Step 5: Solve for x
    x = 11,908.11/113.14
  6. Step 6: Final answer
    x = 105.25

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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.