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Finding the Fourth Proportional to 24.84, 37.10 and 16.21

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Solution

The fourth proportional to 24.84, 37.10 and 16.21 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.84 : 37.10 = 16.21 : x
  2. Step 2: Convert to fraction form
    24.84/37.10 = 16.21/x
  3. Step 3: Cross multiply
    24.84x = 37.10 × 16.21
  4. Step 4: Simplify right side
    24.84x = 601.21
  5. Step 5: Solve for x
    x = 601.21/24.84
  6. Step 6: Final answer
    x = 24.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.