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Finding the Fourth Proportional to 23.00, 34.48 and 10.16

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Solution

The fourth proportional to 23.00, 34.48 and 10.16 is: 15.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.00 : 34.48 = 10.16 : x
  2. Step 2: Convert to fraction form
    23.00/34.48 = 10.16/x
  3. Step 3: Cross multiply
    23.00x = 34.48 × 10.16
  4. Step 4: Simplify right side
    23.00x = 350.12
  5. Step 5: Solve for x
    x = 350.12/23.00
  6. Step 6: Final answer
    x = 15.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.