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Finding the Fourth Proportional to 54.39, 75.06 and 29.84

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Solution

The fourth proportional to 54.39, 75.06 and 29.84 is: 41.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.39 : 75.06 = 29.84 : x
  2. Step 2: Convert to fraction form
    54.39/75.06 = 29.84/x
  3. Step 3: Cross multiply
    54.39x = 75.06 × 29.84
  4. Step 4: Simplify right side
    54.39x = 2,239.49
  5. Step 5: Solve for x
    x = 2,239.49/54.39
  6. Step 6: Final answer
    x = 41.17

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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.