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Finding the Fourth Proportional to 54.06, 74.55 and 41.70

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Solution

The fourth proportional to 54.06, 74.55 and 41.70 is: 57.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.06 : 74.55 = 41.70 : x
  2. Step 2: Convert to fraction form
    54.06/74.55 = 41.70/x
  3. Step 3: Cross multiply
    54.06x = 74.55 × 41.70
  4. Step 4: Simplify right side
    54.06x = 3,108.74
  5. Step 5: Solve for x
    x = 3,108.74/54.06
  6. Step 6: Final answer
    x = 57.51

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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.