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Finding the Fourth Proportional to 92.98, 128.24 and 65.33

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Solution

The fourth proportional to 92.98, 128.24 and 65.33 is: 90.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 128.24 = 65.33 : x
  2. Step 2: Convert to fraction form
    92.98/128.24 = 65.33/x
  3. Step 3: Cross multiply
    92.98x = 128.24 × 65.33
  4. Step 4: Simplify right side
    92.98x = 8,377.59
  5. Step 5: Solve for x
    x = 8,377.59/92.98
  6. Step 6: Final answer
    x = 90.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.