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Finding the Fourth Proportional to 85.78, 128.52 and 83.40

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Solution

The fourth proportional to 85.78, 128.52 and 83.40 is: 124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 128.52 = 83.40 : x
  2. Step 2: Convert to fraction form
    85.78/128.52 = 83.40/x
  3. Step 3: Cross multiply
    85.78x = 128.52 × 83.40
  4. Step 4: Simplify right side
    85.78x = 10,718.57
  5. Step 5: Solve for x
    x = 10,718.57/85.78
  6. Step 6: Final answer
    x = 124.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.