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Finding the Fourth Proportional to 70.44, 105.65 and 24.78

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Solution

The fourth proportional to 70.44, 105.65 and 24.78 is: 37.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 105.65 = 24.78 : x
  2. Step 2: Convert to fraction form
    70.44/105.65 = 24.78/x
  3. Step 3: Cross multiply
    70.44x = 105.65 × 24.78
  4. Step 4: Simplify right side
    70.44x = 2,617.67
  5. Step 5: Solve for x
    x = 2,617.67/70.44
  6. Step 6: Final answer
    x = 37.16

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