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Finding the Fourth Proportional to 24.22, 33.40 and 16.46

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Solution

The fourth proportional to 24.22, 33.40 and 16.46 is: 22.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.22 : 33.40 = 16.46 : x
  2. Step 2: Convert to fraction form
    24.22/33.40 = 16.46/x
  3. Step 3: Cross multiply
    24.22x = 33.40 × 16.46
  4. Step 4: Simplify right side
    24.22x = 549.51
  5. Step 5: Solve for x
    x = 549.51/24.22
  6. Step 6: Final answer
    x = 22.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.