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Finding the Fourth Proportional to 85.38, 117.12 and 83.58

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Solution

The fourth proportional to 85.38, 117.12 and 83.58 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 117.12 = 83.58 : x
  2. Step 2: Convert to fraction form
    85.38/117.12 = 83.58/x
  3. Step 3: Cross multiply
    85.38x = 117.12 × 83.58
  4. Step 4: Simplify right side
    85.38x = 9,788.89
  5. Step 5: Solve for x
    x = 9,788.89/85.38
  6. Step 6: Final answer
    x = 114.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.