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Finding the Fourth Proportional to 54.40, 75.08 and 39.84

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Solution

The fourth proportional to 54.40, 75.08 and 39.84 is: 54.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.40 : 75.08 = 39.84 : x
  2. Step 2: Convert to fraction form
    54.40/75.08 = 39.84/x
  3. Step 3: Cross multiply
    54.40x = 75.08 × 39.84
  4. Step 4: Simplify right side
    54.40x = 2,991.19
  5. Step 5: Solve for x
    x = 2,991.19/54.40
  6. Step 6: Final answer
    x = 54.99

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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.