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Finding the Fourth Proportional to 54.95, 75.94 and 42.71

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Solution

The fourth proportional to 54.95, 75.94 and 42.71 is: 59.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 75.94 = 42.71 : x
  2. Step 2: Convert to fraction form
    54.95/75.94 = 42.71/x
  3. Step 3: Cross multiply
    54.95x = 75.94 × 42.71
  4. Step 4: Simplify right side
    54.95x = 3,242.91
  5. Step 5: Solve for x
    x = 3,242.91/54.95
  6. Step 6: Final answer
    x = 59.02

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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.