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Finding the Fourth Proportional to 85.58, 118.09 and 76.33

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Solution

The fourth proportional to 85.58, 118.09 and 76.33 is: 105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.58 : 118.09 = 76.33 : x
  2. Step 2: Convert to fraction form
    85.58/118.09 = 76.33/x
  3. Step 3: Cross multiply
    85.58x = 118.09 × 76.33
  4. Step 4: Simplify right side
    85.58x = 9,013.81
  5. Step 5: Solve for x
    x = 9,013.81/85.58
  6. Step 6: Final answer
    x = 105.33

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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.