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Finding the Fourth Proportional to 54.65, 75.34 and 38.23

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Solution

The fourth proportional to 54.65, 75.34 and 38.23 is: 52.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.65 : 75.34 = 38.23 : x
  2. Step 2: Convert to fraction form
    54.65/75.34 = 38.23/x
  3. Step 3: Cross multiply
    54.65x = 75.34 × 38.23
  4. Step 4: Simplify right side
    54.65x = 2,880.11
  5. Step 5: Solve for x
    x = 2,880.11/54.65
  6. Step 6: Final answer
    x = 52.70

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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.