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Finding the Fourth Proportional to 24.75, 34.16 and 19.01

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Solution

The fourth proportional to 24.75, 34.16 and 19.01 is: 26.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.16 = 19.01 : x
  2. Step 2: Convert to fraction form
    24.75/34.16 = 19.01/x
  3. Step 3: Cross multiply
    24.75x = 34.16 × 19.01
  4. Step 4: Simplify right side
    24.75x = 649.38
  5. Step 5: Solve for x
    x = 649.38/24.75
  6. Step 6: Final answer
    x = 26.24

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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.