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Finding the Fourth Proportional to 92.98, 140.23 and 91.60

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Solution

The fourth proportional to 92.98, 140.23 and 91.60 is: 138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 140.23 = 91.60 : x
  2. Step 2: Convert to fraction form
    92.98/140.23 = 91.60/x
  3. Step 3: Cross multiply
    92.98x = 140.23 × 91.60
  4. Step 4: Simplify right side
    92.98x = 12,845.07
  5. Step 5: Solve for x
    x = 12,845.07/92.98
  6. Step 6: Final answer
    x = 138.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.