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Finding the Fourth Proportional to 24.51, 36.75 and 7.38

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Solution

The fourth proportional to 24.51, 36.75 and 7.38 is: 11.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.51 : 36.75 = 7.38 : x
  2. Step 2: Convert to fraction form
    24.51/36.75 = 7.38/x
  3. Step 3: Cross multiply
    24.51x = 36.75 × 7.38
  4. Step 4: Simplify right side
    24.51x = 271.37
  5. Step 5: Solve for x
    x = 271.37/24.51
  6. Step 6: Final answer
    x = 11.07

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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.