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Finding the Fourth Proportional to 42.10, 58.09 and 23.68

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Solution

The fourth proportional to 42.10, 58.09 and 23.68 is: 32.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 58.09 = 23.68 : x
  2. Step 2: Convert to fraction form
    42.10/58.09 = 23.68/x
  3. Step 3: Cross multiply
    42.10x = 58.09 × 23.68
  4. Step 4: Simplify right side
    42.10x = 1,375.39
  5. Step 5: Solve for x
    x = 1,375.39/42.10
  6. Step 6: Final answer
    x = 32.67

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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.