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Finding the Fourth Proportional to 37.35, 51.54 and 22.80

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Solution

The fourth proportional to 37.35, 51.54 and 22.80 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.35 : 51.54 = 22.80 : x
  2. Step 2: Convert to fraction form
    37.35/51.54 = 22.80/x
  3. Step 3: Cross multiply
    37.35x = 51.54 × 22.80
  4. Step 4: Simplify right side
    37.35x = 1,175.11
  5. Step 5: Solve for x
    x = 1,175.11/37.35
  6. Step 6: Final answer
    x = 31.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.