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Finding the Fourth Proportional to 105.32, 157.33 and 76.19

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Solution

The fourth proportional to 105.32, 157.33 and 76.19 is: 113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 157.33 = 76.19 : x
  2. Step 2: Convert to fraction form
    105.32/157.33 = 76.19/x
  3. Step 3: Cross multiply
    105.32x = 157.33 × 76.19
  4. Step 4: Simplify right side
    105.32x = 11,986.19
  5. Step 5: Solve for x
    x = 11,986.19/105.32
  6. Step 6: Final answer
    x = 113.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.