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Finding the Fourth Proportional to 70.49, 105.74 and 36.23

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Solution

The fourth proportional to 70.49, 105.74 and 36.23 is: 54.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 105.74 = 36.23 : x
  2. Step 2: Convert to fraction form
    70.49/105.74 = 36.23/x
  3. Step 3: Cross multiply
    70.49x = 105.74 × 36.23
  4. Step 4: Simplify right side
    70.49x = 3,830.96
  5. Step 5: Solve for x
    x = 3,830.96/70.49
  6. Step 6: Final answer
    x = 54.35

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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.