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Finding the Fourth Proportional to 28.10, 42.09 and 23

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Solution

The fourth proportional to 28.10, 42.09 and 23 is: 34.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.10 : 42.09 = 23 : x
  2. Step 2: Convert to fraction form
    28.10/42.09 = 23/x
  3. Step 3: Cross multiply
    28.10x = 42.09 × 23
  4. Step 4: Simplify right side
    28.10x = 968.07
  5. Step 5: Solve for x
    x = 968.07/28.10
  6. Step 6: Final answer
    x = 34.45

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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.