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Finding the Fourth Proportional to 54.26, 74.86 and 34.58

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Solution

The fourth proportional to 54.26, 74.86 and 34.58 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.26 : 74.86 = 34.58 : x
  2. Step 2: Convert to fraction form
    54.26/74.86 = 34.58/x
  3. Step 3: Cross multiply
    54.26x = 74.86 × 34.58
  4. Step 4: Simplify right side
    54.26x = 2,588.20
  5. Step 5: Solve for x
    x = 2,588.20/54.26
  6. Step 6: Final answer
    x = 47.70

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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.