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Finding the Fourth Proportional to 38.68, 58.04 and 30.14

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Solution

The fourth proportional to 38.68, 58.04 and 30.14 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.68 : 58.04 = 30.14 : x
  2. Step 2: Convert to fraction form
    38.68/58.04 = 30.14/x
  3. Step 3: Cross multiply
    38.68x = 58.04 × 30.14
  4. Step 4: Simplify right side
    38.68x = 1,749.13
  5. Step 5: Solve for x
    x = 1,749.13/38.68
  6. Step 6: Final answer
    x = 45.22

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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.