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Finding the Fourth Proportional to 85.99, 128.98 and 42.65

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Solution

The fourth proportional to 85.99, 128.98 and 42.65 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.99 : 128.98 = 42.65 : x
  2. Step 2: Convert to fraction form
    85.99/128.98 = 42.65/x
  3. Step 3: Cross multiply
    85.99x = 128.98 × 42.65
  4. Step 4: Simplify right side
    85.99x = 5,500.25
  5. Step 5: Solve for x
    x = 5,500.25/85.99
  6. Step 6: Final answer
    x = 63.96

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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.