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Finding the Fourth Proportional to 37.21, 55.71 and 24.35

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Solution

The fourth proportional to 37.21, 55.71 and 24.35 is: 36.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.21 : 55.71 = 24.35 : x
  2. Step 2: Convert to fraction form
    37.21/55.71 = 24.35/x
  3. Step 3: Cross multiply
    37.21x = 55.71 × 24.35
  4. Step 4: Simplify right side
    37.21x = 1,356.54
  5. Step 5: Solve for x
    x = 1,356.54/37.21
  6. Step 6: Final answer
    x = 36.46

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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.