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Finding the Fourth Proportional to 86.35, 119.23 and 71.58

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Solution

The fourth proportional to 86.35, 119.23 and 71.58 is: 98.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.35 : 119.23 = 71.58 : x
  2. Step 2: Convert to fraction form
    86.35/119.23 = 71.58/x
  3. Step 3: Cross multiply
    86.35x = 119.23 × 71.58
  4. Step 4: Simplify right side
    86.35x = 8,534.48
  5. Step 5: Solve for x
    x = 8,534.48/86.35
  6. Step 6: Final answer
    x = 98.84

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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.