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Finding the Fourth Proportional to 113.72, 157.05 and 84.56

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Solution

The fourth proportional to 113.72, 157.05 and 84.56 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.72 : 157.05 = 84.56 : x
  2. Step 2: Convert to fraction form
    113.72/157.05 = 84.56/x
  3. Step 3: Cross multiply
    113.72x = 157.05 × 84.56
  4. Step 4: Simplify right side
    113.72x = 13,279.36
  5. Step 5: Solve for x
    x = 13,279.36/113.72
  6. Step 6: Final answer
    x = 116.78

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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.