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Finding the Fourth Proportional to 54.19, 74.83 and 34.81

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Solution

The fourth proportional to 54.19, 74.83 and 34.81 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 74.83 = 34.81 : x
  2. Step 2: Convert to fraction form
    54.19/74.83 = 34.81/x
  3. Step 3: Cross multiply
    54.19x = 74.83 × 34.81
  4. Step 4: Simplify right side
    54.19x = 2,605.03
  5. Step 5: Solve for x
    x = 2,605.03/54.19
  6. Step 6: Final answer
    x = 48.08

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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.