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Finding the Fourth Proportional to 39.84, 54.95 and 30.62

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Solution

The fourth proportional to 39.84, 54.95 and 30.62 is: 42.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 54.95 = 30.62 : x
  2. Step 2: Convert to fraction form
    39.84/54.95 = 30.62/x
  3. Step 3: Cross multiply
    39.84x = 54.95 × 30.62
  4. Step 4: Simplify right side
    39.84x = 1,682.22
  5. Step 5: Solve for x
    x = 1,682.22/39.84
  6. Step 6: Final answer
    x = 42.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.