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Finding the Fourth Proportional to 23.84, 35.63 and 22.54

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Solution

The fourth proportional to 23.84, 35.63 and 22.54 is: 33.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.84 : 35.63 = 22.54 : x
  2. Step 2: Convert to fraction form
    23.84/35.63 = 22.54/x
  3. Step 3: Cross multiply
    23.84x = 35.63 × 22.54
  4. Step 4: Simplify right side
    23.84x = 802.99
  5. Step 5: Solve for x
    x = 802.99/23.84
  6. Step 6: Final answer
    x = 33.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.