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Finding the Fourth Proportional to 85.21, 117.76 and 71.36

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Solution

The fourth proportional to 85.21, 117.76 and 71.36 is: 98.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.21 : 117.76 = 71.36 : x
  2. Step 2: Convert to fraction form
    85.21/117.76 = 71.36/x
  3. Step 3: Cross multiply
    85.21x = 117.76 × 71.36
  4. Step 4: Simplify right side
    85.21x = 8,403.47
  5. Step 5: Solve for x
    x = 8,403.47/85.21
  6. Step 6: Final answer
    x = 98.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.