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Finding the Fourth Proportional to 54.34, 74.91 and 41.23

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Solution

The fourth proportional to 54.34, 74.91 and 41.23 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 74.91 = 41.23 : x
  2. Step 2: Convert to fraction form
    54.34/74.91 = 41.23/x
  3. Step 3: Cross multiply
    54.34x = 74.91 × 41.23
  4. Step 4: Simplify right side
    54.34x = 3,088.54
  5. Step 5: Solve for x
    x = 3,088.54/54.34
  6. Step 6: Final answer
    x = 56.84

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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.