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Finding the Fourth Proportional to 37.48, 51.78 and 24.60

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Solution

The fourth proportional to 37.48, 51.78 and 24.60 is: 33.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.48 : 51.78 = 24.60 : x
  2. Step 2: Convert to fraction form
    37.48/51.78 = 24.60/x
  3. Step 3: Cross multiply
    37.48x = 51.78 × 24.60
  4. Step 4: Simplify right side
    37.48x = 1,273.79
  5. Step 5: Solve for x
    x = 1,273.79/37.48
  6. Step 6: Final answer
    x = 33.99

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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.