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Finding the Fourth Proportional to 85.08, 127.35 and 66.84

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Solution

The fourth proportional to 85.08, 127.35 and 66.84 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 127.35 = 66.84 : x
  2. Step 2: Convert to fraction form
    85.08/127.35 = 66.84/x
  3. Step 3: Cross multiply
    85.08x = 127.35 × 66.84
  4. Step 4: Simplify right side
    85.08x = 8,512.07
  5. Step 5: Solve for x
    x = 8,512.07/85.08
  6. Step 6: Final answer
    x = 100.05

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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.