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Finding the Fourth Proportional to 70.46, 105.71 and 24.80

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Solution

The fourth proportional to 70.46, 105.71 and 24.80 is: 37.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 105.71 = 24.80 : x
  2. Step 2: Convert to fraction form
    70.46/105.71 = 24.80/x
  3. Step 3: Cross multiply
    70.46x = 105.71 × 24.80
  4. Step 4: Simplify right side
    70.46x = 2,621.61
  5. Step 5: Solve for x
    x = 2,621.61/70.46
  6. Step 6: Final answer
    x = 37.21

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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.