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Finding the Fourth Proportional to 85.96, 128.95 and 53.90

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Solution

The fourth proportional to 85.96, 128.95 and 53.90 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.95 = 53.90 : x
  2. Step 2: Convert to fraction form
    85.96/128.95 = 53.90/x
  3. Step 3: Cross multiply
    85.96x = 128.95 × 53.90
  4. Step 4: Simplify right side
    85.96x = 6,950.41
  5. Step 5: Solve for x
    x = 6,950.41/85.96
  6. Step 6: Final answer
    x = 80.86

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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.