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Finding the Fourth Proportional to 24.19, 33.16 and 23.51

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Solution

The fourth proportional to 24.19, 33.16 and 23.51 is: 32.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 33.16 = 23.51 : x
  2. Step 2: Convert to fraction form
    24.19/33.16 = 23.51/x
  3. Step 3: Cross multiply
    24.19x = 33.16 × 23.51
  4. Step 4: Simplify right side
    24.19x = 779.59
  5. Step 5: Solve for x
    x = 779.59/24.19
  6. Step 6: Final answer
    x = 32.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.