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Finding the Fourth Proportional to 105.27, 157.99 and 51.20

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Solution

The fourth proportional to 105.27, 157.99 and 51.20 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 157.99 = 51.20 : x
  2. Step 2: Convert to fraction form
    105.27/157.99 = 51.20/x
  3. Step 3: Cross multiply
    105.27x = 157.99 × 51.20
  4. Step 4: Simplify right side
    105.27x = 8,089.09
  5. Step 5: Solve for x
    x = 8,089.09/105.27
  6. Step 6: Final answer
    x = 76.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.