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Finding the Fourth Proportional to 70.35, 105.53 and 24.69

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Solution

The fourth proportional to 70.35, 105.53 and 24.69 is: 37.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.35 : 105.53 = 24.69 : x
  2. Step 2: Convert to fraction form
    70.35/105.53 = 24.69/x
  3. Step 3: Cross multiply
    70.35x = 105.53 × 24.69
  4. Step 4: Simplify right side
    70.35x = 2,605.01
  5. Step 5: Solve for x
    x = 2,605.01/70.35
  6. Step 6: Final answer
    x = 37.03

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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.