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Finding the Fourth Proportional to 54.08, 75.08 and 52.60

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Solution

The fourth proportional to 54.08, 75.08 and 52.60 is: 73.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 75.08 = 52.60 : x
  2. Step 2: Convert to fraction form
    54.08/75.08 = 52.60/x
  3. Step 3: Cross multiply
    54.08x = 75.08 × 52.60
  4. Step 4: Simplify right side
    54.08x = 3,949.21
  5. Step 5: Solve for x
    x = 3,949.21/54.08
  6. Step 6: Final answer
    x = 73.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.