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Finding the Fourth Proportional to 85.89, 118.35 and 65.10

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Solution

The fourth proportional to 85.89, 118.35 and 65.10 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.89 : 118.35 = 65.10 : x
  2. Step 2: Convert to fraction form
    85.89/118.35 = 65.10/x
  3. Step 3: Cross multiply
    85.89x = 118.35 × 65.10
  4. Step 4: Simplify right side
    85.89x = 7,704.59
  5. Step 5: Solve for x
    x = 7,704.59/85.89
  6. Step 6: Final answer
    x = 89.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.