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Finding the Fourth Proportional to 54.34, 74.99 and 29.78

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Solution

The fourth proportional to 54.34, 74.99 and 29.78 is: 41.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 74.99 = 29.78 : x
  2. Step 2: Convert to fraction form
    54.34/74.99 = 29.78/x
  3. Step 3: Cross multiply
    54.34x = 74.99 × 29.78
  4. Step 4: Simplify right side
    54.34x = 2,233.10
  5. Step 5: Solve for x
    x = 2,233.10/54.34
  6. Step 6: Final answer
    x = 41.09

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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.