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Finding the Fourth Proportional to 84.65, 117.35 and 83.36

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Solution

The fourth proportional to 84.65, 117.35 and 83.36 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 117.35 = 83.36 : x
  2. Step 2: Convert to fraction form
    84.65/117.35 = 83.36/x
  3. Step 3: Cross multiply
    84.65x = 117.35 × 83.36
  4. Step 4: Simplify right side
    84.65x = 9,782.49
  5. Step 5: Solve for x
    x = 9,782.49/84.65
  6. Step 6: Final answer
    x = 115.57

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Why These Related Problems?

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