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Finding the Fourth Proportional to 54.75, 75.58 and 38.35

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Solution

The fourth proportional to 54.75, 75.58 and 38.35 is: 52.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 75.58 = 38.35 : x
  2. Step 2: Convert to fraction form
    54.75/75.58 = 38.35/x
  3. Step 3: Cross multiply
    54.75x = 75.58 × 38.35
  4. Step 4: Simplify right side
    54.75x = 2,898.49
  5. Step 5: Solve for x
    x = 2,898.49/54.75
  6. Step 6: Final answer
    x = 52.94

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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.