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Finding the Fourth Proportional to 23, 31.73 and 15.23

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Solution

The fourth proportional to 23, 31.73 and 15.23 is: 21.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 31.73 = 15.23 : x
  2. Step 2: Convert to fraction form
    23/31.73 = 15.23/x
  3. Step 3: Cross multiply
    23x = 31.73 × 15.23
  4. Step 4: Simplify right side
    23x = 483.25
  5. Step 5: Solve for x
    x = 483.25/23
  6. Step 6: Final answer
    x = 21.01

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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.