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Finding the Fourth Proportional to 105.12, 157.74 and 44.30

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Solution

The fourth proportional to 105.12, 157.74 and 44.30 is: 66.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 157.74 = 44.30 : x
  2. Step 2: Convert to fraction form
    105.12/157.74 = 44.30/x
  3. Step 3: Cross multiply
    105.12x = 157.74 × 44.30
  4. Step 4: Simplify right side
    105.12x = 6,986.87
  5. Step 5: Solve for x
    x = 6,986.87/105.12
  6. Step 6: Final answer
    x = 66.47

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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.