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Finding the Fourth Proportional to 37.70, 56.50 and 19.68

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Solution

The fourth proportional to 37.70, 56.50 and 19.68 is: 29.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 56.50 = 19.68 : x
  2. Step 2: Convert to fraction form
    37.70/56.50 = 19.68/x
  3. Step 3: Cross multiply
    37.70x = 56.50 × 19.68
  4. Step 4: Simplify right side
    37.70x = 1,111.92
  5. Step 5: Solve for x
    x = 1,111.92/37.70
  6. Step 6: Final answer
    x = 29.49

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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.