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Finding the Fourth Proportional to 90.31, 125.21 and 85.45

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Solution

The fourth proportional to 90.31, 125.21 and 85.45 is: 118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.31 : 125.21 = 85.45 : x
  2. Step 2: Convert to fraction form
    90.31/125.21 = 85.45/x
  3. Step 3: Cross multiply
    90.31x = 125.21 × 85.45
  4. Step 4: Simplify right side
    90.31x = 10,699.19
  5. Step 5: Solve for x
    x = 10,699.19/90.31
  6. Step 6: Final answer
    x = 118.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.