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Finding the Fourth Proportional to 23.04, 31.83 and 15.78

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Solution

The fourth proportional to 23.04, 31.83 and 15.78 is: 21.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 31.83 = 15.78 : x
  2. Step 2: Convert to fraction form
    23.04/31.83 = 15.78/x
  3. Step 3: Cross multiply
    23.04x = 31.83 × 15.78
  4. Step 4: Simplify right side
    23.04x = 502.28
  5. Step 5: Solve for x
    x = 502.28/23.04
  6. Step 6: Final answer
    x = 21.80

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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.