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Finding the Fourth Proportional to 37.84, 56.80 and 24.28

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Solution

The fourth proportional to 37.84, 56.80 and 24.28 is: 36.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 56.80 = 24.28 : x
  2. Step 2: Convert to fraction form
    37.84/56.80 = 24.28/x
  3. Step 3: Cross multiply
    37.84x = 56.80 × 24.28
  4. Step 4: Simplify right side
    37.84x = 1,379.10
  5. Step 5: Solve for x
    x = 1,379.10/37.84
  6. Step 6: Final answer
    x = 36.45

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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.