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Finding the Fourth Proportional to 54.01, 74.54 and 34.35

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Solution

The fourth proportional to 54.01, 74.54 and 34.35 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.01 : 74.54 = 34.35 : x
  2. Step 2: Convert to fraction form
    54.01/74.54 = 34.35/x
  3. Step 3: Cross multiply
    54.01x = 74.54 × 34.35
  4. Step 4: Simplify right side
    54.01x = 2,560.45
  5. Step 5: Solve for x
    x = 2,560.45/54.01
  6. Step 6: Final answer
    x = 47.41

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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.