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Finding the Fourth Proportional to 92.52, 128.19 and 86.28

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Solution

The fourth proportional to 92.52, 128.19 and 86.28 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 128.19 = 86.28 : x
  2. Step 2: Convert to fraction form
    92.52/128.19 = 86.28/x
  3. Step 3: Cross multiply
    92.52x = 128.19 × 86.28
  4. Step 4: Simplify right side
    92.52x = 11,060.23
  5. Step 5: Solve for x
    x = 11,060.23/92.52
  6. Step 6: Final answer
    x = 119.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.