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Finding the Fourth Proportional to 37.23, 50.98 and 37.02

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Solution

The fourth proportional to 37.23, 50.98 and 37.02 is: 50.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.23 : 50.98 = 37.02 : x
  2. Step 2: Convert to fraction form
    37.23/50.98 = 37.02/x
  3. Step 3: Cross multiply
    37.23x = 50.98 × 37.02
  4. Step 4: Simplify right side
    37.23x = 1,887.28
  5. Step 5: Solve for x
    x = 1,887.28/37.23
  6. Step 6: Final answer
    x = 50.69

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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.