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Finding the Fourth Proportional to 86.42, 119.25 and 57.35

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Solution

The fourth proportional to 86.42, 119.25 and 57.35 is: 79.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.42 : 119.25 = 57.35 : x
  2. Step 2: Convert to fraction form
    86.42/119.25 = 57.35/x
  3. Step 3: Cross multiply
    86.42x = 119.25 × 57.35
  4. Step 4: Simplify right side
    86.42x = 6,839.29
  5. Step 5: Solve for x
    x = 6,839.29/86.42
  6. Step 6: Final answer
    x = 79.14

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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.