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Finding the Fourth Proportional to 70.24, 105.20 and 37.66

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Solution

The fourth proportional to 70.24, 105.20 and 37.66 is: 56.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 105.20 = 37.66 : x
  2. Step 2: Convert to fraction form
    70.24/105.20 = 37.66/x
  3. Step 3: Cross multiply
    70.24x = 105.20 × 37.66
  4. Step 4: Simplify right side
    70.24x = 3,961.83
  5. Step 5: Solve for x
    x = 3,961.83/70.24
  6. Step 6: Final answer
    x = 56.40

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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.