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Finding the Fourth Proportional to 85.53, 118.01 and 59.67

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Solution

The fourth proportional to 85.53, 118.01 and 59.67 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 118.01 = 59.67 : x
  2. Step 2: Convert to fraction form
    85.53/118.01 = 59.67/x
  3. Step 3: Cross multiply
    85.53x = 118.01 × 59.67
  4. Step 4: Simplify right side
    85.53x = 7,041.36
  5. Step 5: Solve for x
    x = 7,041.36/85.53
  6. Step 6: Final answer
    x = 82.33

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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.