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Finding the Fourth Proportional to 39.84, 54.90 and 37.68

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Solution

The fourth proportional to 39.84, 54.90 and 37.68 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 54.90 = 37.68 : x
  2. Step 2: Convert to fraction form
    39.84/54.90 = 37.68/x
  3. Step 3: Cross multiply
    39.84x = 54.90 × 37.68
  4. Step 4: Simplify right side
    39.84x = 2,068.63
  5. Step 5: Solve for x
    x = 2,068.63/39.84
  6. Step 6: Final answer
    x = 51.92

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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.