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Finding the Fourth Proportional to 70.45, 105.69 and 24.19

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Solution

The fourth proportional to 70.45, 105.69 and 24.19 is: 36.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 105.69 = 24.19 : x
  2. Step 2: Convert to fraction form
    70.45/105.69 = 24.19/x
  3. Step 3: Cross multiply
    70.45x = 105.69 × 24.19
  4. Step 4: Simplify right side
    70.45x = 2,555.99
  5. Step 5: Solve for x
    x = 2,555.99/70.45
  6. Step 6: Final answer
    x = 36.28

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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.