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Finding the Fourth Proportional to 85.36, 127.37 and 71.86

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Solution

The fourth proportional to 85.36, 127.37 and 71.86 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.36 : 127.37 = 71.86 : x
  2. Step 2: Convert to fraction form
    85.36/127.37 = 71.86/x
  3. Step 3: Cross multiply
    85.36x = 127.37 × 71.86
  4. Step 4: Simplify right side
    85.36x = 9,152.81
  5. Step 5: Solve for x
    x = 9,152.81/85.36
  6. Step 6: Final answer
    x = 107.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.