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Finding the Fourth Proportional to 86.09, 118.67 and 56.93

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Solution

The fourth proportional to 86.09, 118.67 and 56.93 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.09 : 118.67 = 56.93 : x
  2. Step 2: Convert to fraction form
    86.09/118.67 = 56.93/x
  3. Step 3: Cross multiply
    86.09x = 118.67 × 56.93
  4. Step 4: Simplify right side
    86.09x = 6,755.01
  5. Step 5: Solve for x
    x = 6,755.01/86.09
  6. Step 6: Final answer
    x = 78.47

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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.