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Finding the Fourth Proportional to 85.95, 127.80 and 83.94

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Solution

The fourth proportional to 85.95, 127.80 and 83.94 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.95 : 127.80 = 83.94 : x
  2. Step 2: Convert to fraction form
    85.95/127.80 = 83.94/x
  3. Step 3: Cross multiply
    85.95x = 127.80 × 83.94
  4. Step 4: Simplify right side
    85.95x = 10,727.53
  5. Step 5: Solve for x
    x = 10,727.53/85.95
  6. Step 6: Final answer
    x = 124.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.