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Finding the Fourth Proportional to 37.84, 52.19 and 24.02

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Solution

The fourth proportional to 37.84, 52.19 and 24.02 is: 33.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 52.19 = 24.02 : x
  2. Step 2: Convert to fraction form
    37.84/52.19 = 24.02/x
  3. Step 3: Cross multiply
    37.84x = 52.19 × 24.02
  4. Step 4: Simplify right side
    37.84x = 1,253.79
  5. Step 5: Solve for x
    x = 1,253.79/37.84
  6. Step 6: Final answer
    x = 33.13

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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.