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Finding the Fourth Proportional to 102.54, 140.70 and 93.26

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Solution

The fourth proportional to 102.54, 140.70 and 93.26 is: 127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 140.70 = 93.26 : x
  2. Step 2: Convert to fraction form
    102.54/140.70 = 93.26/x
  3. Step 3: Cross multiply
    102.54x = 140.70 × 93.26
  4. Step 4: Simplify right side
    102.54x = 13,121.33
  5. Step 5: Solve for x
    x = 13,121.33/102.54
  6. Step 6: Final answer
    x = 127.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.