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Finding the Fourth Proportional to 62.06, 92.86 and 54.32

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Solution

The fourth proportional to 62.06, 92.86 and 54.32 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.06 : 92.86 = 54.32 : x
  2. Step 2: Convert to fraction form
    62.06/92.86 = 54.32/x
  3. Step 3: Cross multiply
    62.06x = 92.86 × 54.32
  4. Step 4: Simplify right side
    62.06x = 5,043.56
  5. Step 5: Solve for x
    x = 5,043.56/62.06
  6. Step 6: Final answer
    x = 81.28

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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.