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Finding the Fourth Proportional to 24.15, 33.51 and 22.35

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Solution

The fourth proportional to 24.15, 33.51 and 22.35 is: 31.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.15 : 33.51 = 22.35 : x
  2. Step 2: Convert to fraction form
    24.15/33.51 = 22.35/x
  3. Step 3: Cross multiply
    24.15x = 33.51 × 22.35
  4. Step 4: Simplify right side
    24.15x = 748.95
  5. Step 5: Solve for x
    x = 748.95/24.15
  6. Step 6: Final answer
    x = 31.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.