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Finding the Fourth Proportional to 85.84, 118.80 and 85.12

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Solution

The fourth proportional to 85.84, 118.80 and 85.12 is: 117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.80 = 85.12 : x
  2. Step 2: Convert to fraction form
    85.84/118.80 = 85.12/x
  3. Step 3: Cross multiply
    85.84x = 118.80 × 85.12
  4. Step 4: Simplify right side
    85.84x = 10,112.26
  5. Step 5: Solve for x
    x = 10,112.26/85.84
  6. Step 6: Final answer
    x = 117.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.