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Finding the Fourth Proportional to 23.94, 32.95 and 22.00

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Solution

The fourth proportional to 23.94, 32.95 and 22.00 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.94 : 32.95 = 22.00 : x
  2. Step 2: Convert to fraction form
    23.94/32.95 = 22.00/x
  3. Step 3: Cross multiply
    23.94x = 32.95 × 22.00
  4. Step 4: Simplify right side
    23.94x = 724.76
  5. Step 5: Solve for x
    x = 724.76/23.94
  6. Step 6: Final answer
    x = 30.27

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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.