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Finding the Fourth Proportional to 92.56, 138.20 and 89.08

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Solution

The fourth proportional to 92.56, 138.20 and 89.08 is: 133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.56 : 138.20 = 89.08 : x
  2. Step 2: Convert to fraction form
    92.56/138.20 = 89.08/x
  3. Step 3: Cross multiply
    92.56x = 138.20 × 89.08
  4. Step 4: Simplify right side
    92.56x = 12,310.86
  5. Step 5: Solve for x
    x = 12,310.86/92.56
  6. Step 6: Final answer
    x = 133.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.