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Finding the Fourth Proportional to 86.99, 119.54 and 71.42

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Solution

The fourth proportional to 86.99, 119.54 and 71.42 is: 98.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 119.54 = 71.42 : x
  2. Step 2: Convert to fraction form
    86.99/119.54 = 71.42/x
  3. Step 3: Cross multiply
    86.99x = 119.54 × 71.42
  4. Step 4: Simplify right side
    86.99x = 8,537.13
  5. Step 5: Solve for x
    x = 8,537.13/86.99
  6. Step 6: Final answer
    x = 98.14

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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.