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Finding the Fourth Proportional to 24.93, 34.30 and 24.80

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Solution

The fourth proportional to 24.93, 34.30 and 24.80 is: 34.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.93 : 34.30 = 24.80 : x
  2. Step 2: Convert to fraction form
    24.93/34.30 = 24.80/x
  3. Step 3: Cross multiply
    24.93x = 34.30 × 24.80
  4. Step 4: Simplify right side
    24.93x = 850.64
  5. Step 5: Solve for x
    x = 850.64/24.93
  6. Step 6: Final answer
    x = 34.12

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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.