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Finding the Fourth Proportional to 90.08, 123.38 and 85.10

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Solution

The fourth proportional to 90.08, 123.38 and 85.10 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.08 : 123.38 = 85.10 : x
  2. Step 2: Convert to fraction form
    90.08/123.38 = 85.10/x
  3. Step 3: Cross multiply
    90.08x = 123.38 × 85.10
  4. Step 4: Simplify right side
    90.08x = 10,499.64
  5. Step 5: Solve for x
    x = 10,499.64/90.08
  6. Step 6: Final answer
    x = 116.56

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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.