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Finding the Fourth Proportional to 86.78, 118.16 and 86.51

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Solution

The fourth proportional to 86.78, 118.16 and 86.51 is: 117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.78 : 118.16 = 86.51 : x
  2. Step 2: Convert to fraction form
    86.78/118.16 = 86.51/x
  3. Step 3: Cross multiply
    86.78x = 118.16 × 86.51
  4. Step 4: Simplify right side
    86.78x = 10,221.88
  5. Step 5: Solve for x
    x = 10,221.88/86.78
  6. Step 6: Final answer
    x = 117.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.