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Finding the Fourth Proportional to 85.84, 118.95 and 84.84

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Solution

The fourth proportional to 85.84, 118.95 and 84.84 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.95 = 84.84 : x
  2. Step 2: Convert to fraction form
    85.84/118.95 = 84.84/x
  3. Step 3: Cross multiply
    85.84x = 118.95 × 84.84
  4. Step 4: Simplify right side
    85.84x = 10,091.72
  5. Step 5: Solve for x
    x = 10,091.72/85.84
  6. Step 6: Final answer
    x = 117.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.