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Finding the Fourth Proportional to 37.70, 51.79 and 32.50

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Solution

The fourth proportional to 37.70, 51.79 and 32.50 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 51.79 = 32.50 : x
  2. Step 2: Convert to fraction form
    37.70/51.79 = 32.50/x
  3. Step 3: Cross multiply
    37.70x = 51.79 × 32.50
  4. Step 4: Simplify right side
    37.70x = 1,682.75
  5. Step 5: Solve for x
    x = 1,682.75/37.70
  6. Step 6: Final answer
    x = 44.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.