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Finding the Fourth Proportional to 25.08, 37.60 and 16.48

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Solution

The fourth proportional to 25.08, 37.60 and 16.48 is: 24.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.08 : 37.60 = 16.48 : x
  2. Step 2: Convert to fraction form
    25.08/37.60 = 16.48/x
  3. Step 3: Cross multiply
    25.08x = 37.60 × 16.48
  4. Step 4: Simplify right side
    25.08x = 619.65
  5. Step 5: Solve for x
    x = 619.65/25.08
  6. Step 6: Final answer
    x = 24.71

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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.