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Finding the Fourth Proportional to 37.84, 51.93 and 34.76

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Solution

The fourth proportional to 37.84, 51.93 and 34.76 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 51.93 = 34.76 : x
  2. Step 2: Convert to fraction form
    37.84/51.93 = 34.76/x
  3. Step 3: Cross multiply
    37.84x = 51.93 × 34.76
  4. Step 4: Simplify right side
    37.84x = 1,805.09
  5. Step 5: Solve for x
    x = 1,805.09/37.84
  6. Step 6: Final answer
    x = 47.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.