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Finding the Fourth Proportional to 37.13, 51.12 and 33.02

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Solution

The fourth proportional to 37.13, 51.12 and 33.02 is: 45.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.13 : 51.12 = 33.02 : x
  2. Step 2: Convert to fraction form
    37.13/51.12 = 33.02/x
  3. Step 3: Cross multiply
    37.13x = 51.12 × 33.02
  4. Step 4: Simplify right side
    37.13x = 1,687.98
  5. Step 5: Solve for x
    x = 1,687.98/37.13
  6. Step 6: Final answer
    x = 45.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.