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Finding the Fourth Proportional to 85.14, 127.40 and 52.66

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Solution

The fourth proportional to 85.14, 127.40 and 52.66 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.14 : 127.40 = 52.66 : x
  2. Step 2: Convert to fraction form
    85.14/127.40 = 52.66/x
  3. Step 3: Cross multiply
    85.14x = 127.40 × 52.66
  4. Step 4: Simplify right side
    85.14x = 6,708.88
  5. Step 5: Solve for x
    x = 6,708.88/85.14
  6. Step 6: Final answer
    x = 78.80

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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.