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Finding the Fourth Proportional to 62.00, 92.99 and 27.72

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Solution

The fourth proportional to 62.00, 92.99 and 27.72 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.00 : 92.99 = 27.72 : x
  2. Step 2: Convert to fraction form
    62.00/92.99 = 27.72/x
  3. Step 3: Cross multiply
    62.00x = 92.99 × 27.72
  4. Step 4: Simplify right side
    62.00x = 2,577.54
  5. Step 5: Solve for x
    x = 2,577.54/62.00
  6. Step 6: Final answer
    x = 41.58

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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.