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Finding the Fourth Proportional to 49.08, 73.62 and 26.25

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Solution

The fourth proportional to 49.08, 73.62 and 26.25 is: 39.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 73.62 = 26.25 : x
  2. Step 2: Convert to fraction form
    49.08/73.62 = 26.25/x
  3. Step 3: Cross multiply
    49.08x = 73.62 × 26.25
  4. Step 4: Simplify right side
    49.08x = 1,932.53
  5. Step 5: Solve for x
    x = 1,932.53/49.08
  6. Step 6: Final answer
    x = 39.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.