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Finding the Fourth Proportional to 37.36, 56.34 and 34.48

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Solution

The fourth proportional to 37.36, 56.34 and 34.48 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.36 : 56.34 = 34.48 : x
  2. Step 2: Convert to fraction form
    37.36/56.34 = 34.48/x
  3. Step 3: Cross multiply
    37.36x = 56.34 × 34.48
  4. Step 4: Simplify right side
    37.36x = 1,942.60
  5. Step 5: Solve for x
    x = 1,942.60/37.36
  6. Step 6: Final answer
    x = 52.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.