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Finding the Fourth Proportional to 54.36, 74.90 and 42.06

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Solution

The fourth proportional to 54.36, 74.90 and 42.06 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.36 : 74.90 = 42.06 : x
  2. Step 2: Convert to fraction form
    54.36/74.90 = 42.06/x
  3. Step 3: Cross multiply
    54.36x = 74.90 × 42.06
  4. Step 4: Simplify right side
    54.36x = 3,150.29
  5. Step 5: Solve for x
    x = 3,150.29/54.36
  6. Step 6: Final answer
    x = 57.95

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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.