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Finding the Fourth Proportional to 28.07, 42.16 and 23.57

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Solution

The fourth proportional to 28.07, 42.16 and 23.57 is: 35.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.07 : 42.16 = 23.57 : x
  2. Step 2: Convert to fraction form
    28.07/42.16 = 23.57/x
  3. Step 3: Cross multiply
    28.07x = 42.16 × 23.57
  4. Step 4: Simplify right side
    28.07x = 993.49
  5. Step 5: Solve for x
    x = 993.49/28.07
  6. Step 6: Final answer
    x = 35.39

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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.