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Finding the Fourth Proportional to 35.91, 54.14 and 29.97

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Solution

The fourth proportional to 35.91, 54.14 and 29.97 is: 45.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.91 : 54.14 = 29.97 : x
  2. Step 2: Convert to fraction form
    35.91/54.14 = 29.97/x
  3. Step 3: Cross multiply
    35.91x = 54.14 × 29.97
  4. Step 4: Simplify right side
    35.91x = 1,622.43
  5. Step 5: Solve for x
    x = 1,622.43/35.91
  6. Step 6: Final answer
    x = 45.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.