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Finding the Fourth Proportional to 37.98, 56.54 and 36.23

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Solution

The fourth proportional to 37.98, 56.54 and 36.23 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.98 : 56.54 = 36.23 : x
  2. Step 2: Convert to fraction form
    37.98/56.54 = 36.23/x
  3. Step 3: Cross multiply
    37.98x = 56.54 × 36.23
  4. Step 4: Simplify right side
    37.98x = 2,048.25
  5. Step 5: Solve for x
    x = 2,048.25/37.98
  6. Step 6: Final answer
    x = 53.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.