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Finding the Fourth Proportional to 62.28, 93.42 and 19.54

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Solution

The fourth proportional to 62.28, 93.42 and 19.54 is: 29.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.28 : 93.42 = 19.54 : x
  2. Step 2: Convert to fraction form
    62.28/93.42 = 19.54/x
  3. Step 3: Cross multiply
    62.28x = 93.42 × 19.54
  4. Step 4: Simplify right side
    62.28x = 1,825.43
  5. Step 5: Solve for x
    x = 1,825.43/62.28
  6. Step 6: Final answer
    x = 29.31

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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.