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Finding the Fourth Proportional to 54.86, 75.74 and 34.16

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Solution

The fourth proportional to 54.86, 75.74 and 34.16 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 75.74 = 34.16 : x
  2. Step 2: Convert to fraction form
    54.86/75.74 = 34.16/x
  3. Step 3: Cross multiply
    54.86x = 75.74 × 34.16
  4. Step 4: Simplify right side
    54.86x = 2,587.05
  5. Step 5: Solve for x
    x = 2,587.05/54.86
  6. Step 6: Final answer
    x = 47.15

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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.