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Finding the Fourth Proportional to 23.04, 31.83 and 21.84

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Solution

The fourth proportional to 23.04, 31.83 and 21.84 is: 30.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 31.83 = 21.84 : x
  2. Step 2: Convert to fraction form
    23.04/31.83 = 21.84/x
  3. Step 3: Cross multiply
    23.04x = 31.83 × 21.84
  4. Step 4: Simplify right side
    23.04x = 695.17
  5. Step 5: Solve for x
    x = 695.17/23.04
  6. Step 6: Final answer
    x = 30.17

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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.