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Finding the Fourth Proportional to 70.37, 105.56 and 37.88

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Solution

The fourth proportional to 70.37, 105.56 and 37.88 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.37 : 105.56 = 37.88 : x
  2. Step 2: Convert to fraction form
    70.37/105.56 = 37.88/x
  3. Step 3: Cross multiply
    70.37x = 105.56 × 37.88
  4. Step 4: Simplify right side
    70.37x = 3,998.44
  5. Step 5: Solve for x
    x = 3,998.44/70.37
  6. Step 6: Final answer
    x = 56.82

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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.