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Finding the Fourth Proportional to 102.90, 154.11 and 94.32

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Solution

The fourth proportional to 102.90, 154.11 and 94.32 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.11 = 94.32 : x
  2. Step 2: Convert to fraction form
    102.90/154.11 = 94.32/x
  3. Step 3: Cross multiply
    102.90x = 154.11 × 94.32
  4. Step 4: Simplify right side
    102.90x = 14,535.66
  5. Step 5: Solve for x
    x = 14,535.66/102.90
  6. Step 6: Final answer
    x = 141.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.