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Finding the Fourth Proportional to 113.50, 157.39 and 107.28

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Solution

The fourth proportional to 113.50, 157.39 and 107.28 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 157.39 = 107.28 : x
  2. Step 2: Convert to fraction form
    113.50/157.39 = 107.28/x
  3. Step 3: Cross multiply
    113.50x = 157.39 × 107.28
  4. Step 4: Simplify right side
    113.50x = 16,884.80
  5. Step 5: Solve for x
    x = 16,884.80/113.50
  6. Step 6: Final answer
    x = 148.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.