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Finding the Fourth Proportional to 24.75, 37.14 and 7.64

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Solution

The fourth proportional to 24.75, 37.14 and 7.64 is: 11.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 37.14 = 7.64 : x
  2. Step 2: Convert to fraction form
    24.75/37.14 = 7.64/x
  3. Step 3: Cross multiply
    24.75x = 37.14 × 7.64
  4. Step 4: Simplify right side
    24.75x = 283.56
  5. Step 5: Solve for x
    x = 283.56/24.75
  6. Step 6: Final answer
    x = 11.46

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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.