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Finding the Fourth Proportional to 113.87, 157.16 and 80.84

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Solution

The fourth proportional to 113.87, 157.16 and 80.84 is: 111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.87 : 157.16 = 80.84 : x
  2. Step 2: Convert to fraction form
    113.87/157.16 = 80.84/x
  3. Step 3: Cross multiply
    113.87x = 157.16 × 80.84
  4. Step 4: Simplify right side
    113.87x = 12,704.81
  5. Step 5: Solve for x
    x = 12,704.81/113.87
  6. Step 6: Final answer
    x = 111.57

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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.