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Finding the Fourth Proportional to 37.92, 56.70 and 36.50

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Solution

The fourth proportional to 37.92, 56.70 and 36.50 is: 54.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 56.70 = 36.50 : x
  2. Step 2: Convert to fraction form
    37.92/56.70 = 36.50/x
  3. Step 3: Cross multiply
    37.92x = 56.70 × 36.50
  4. Step 4: Simplify right side
    37.92x = 2,069.55
  5. Step 5: Solve for x
    x = 2,069.55/37.92
  6. Step 6: Final answer
    x = 54.58

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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.