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Finding the Fourth Proportional to 23.24, 31.83 and 23

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Solution

The fourth proportional to 23.24, 31.83 and 23 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.24 : 31.83 = 23 : x
  2. Step 2: Convert to fraction form
    23.24/31.83 = 23/x
  3. Step 3: Cross multiply
    23.24x = 31.83 × 23
  4. Step 4: Simplify right side
    23.24x = 732.09
  5. Step 5: Solve for x
    x = 732.09/23.24
  6. Step 6: Final answer
    x = 31.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.