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Finding the Fourth Proportional to 24.02, 36.02 and 19.46

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Solution

The fourth proportional to 24.02, 36.02 and 19.46 is: 29.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 36.02 = 19.46 : x
  2. Step 2: Convert to fraction form
    24.02/36.02 = 19.46/x
  3. Step 3: Cross multiply
    24.02x = 36.02 × 19.46
  4. Step 4: Simplify right side
    24.02x = 700.78
  5. Step 5: Solve for x
    x = 700.78/24.02
  6. Step 6: Final answer
    x = 29.17

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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.