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Finding the Fourth Proportional to 85.89, 128.48 and 73.07

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Solution

The fourth proportional to 85.89, 128.48 and 73.07 is: 109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.89 : 128.48 = 73.07 : x
  2. Step 2: Convert to fraction form
    85.89/128.48 = 73.07/x
  3. Step 3: Cross multiply
    85.89x = 128.48 × 73.07
  4. Step 4: Simplify right side
    85.89x = 9,387.03
  5. Step 5: Solve for x
    x = 9,387.03/85.89
  6. Step 6: Final answer
    x = 109.29

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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.