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Finding the Fourth Proportional to 92.82, 128.08 and 54

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Solution

The fourth proportional to 92.82, 128.08 and 54 is: 74.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 128.08 = 54 : x
  2. Step 2: Convert to fraction form
    92.82/128.08 = 54/x
  3. Step 3: Cross multiply
    92.82x = 128.08 × 54
  4. Step 4: Simplify right side
    92.82x = 6,916.32
  5. Step 5: Solve for x
    x = 6,916.32/92.82
  6. Step 6: Final answer
    x = 74.51

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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.