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Finding the Fourth Proportional to 24.99, 37.45 and 9.75

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Solution

The fourth proportional to 24.99, 37.45 and 9.75 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.99 : 37.45 = 9.75 : x
  2. Step 2: Convert to fraction form
    24.99/37.45 = 9.75/x
  3. Step 3: Cross multiply
    24.99x = 37.45 × 9.75
  4. Step 4: Simplify right side
    24.99x = 365.14
  5. Step 5: Solve for x
    x = 365.14/24.99
  6. Step 6: Final answer
    x = 14.61

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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.