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Finding the Fourth Proportional to 37.44, 56.04 and 36.24

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Solution

The fourth proportional to 37.44, 56.04 and 36.24 is: 54.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.44 : 56.04 = 36.24 : x
  2. Step 2: Convert to fraction form
    37.44/56.04 = 36.24/x
  3. Step 3: Cross multiply
    37.44x = 56.04 × 36.24
  4. Step 4: Simplify right side
    37.44x = 2,030.89
  5. Step 5: Solve for x
    x = 2,030.89/37.44
  6. Step 6: Final answer
    x = 54.24

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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.