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Finding the Fourth Proportional to 85.34, 128.00 and 24.46

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Solution

The fourth proportional to 85.34, 128.00 and 24.46 is: 36.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.34 : 128.00 = 24.46 : x
  2. Step 2: Convert to fraction form
    85.34/128.00 = 24.46/x
  3. Step 3: Cross multiply
    85.34x = 128.00 × 24.46
  4. Step 4: Simplify right side
    85.34x = 3,131.06
  5. Step 5: Solve for x
    x = 3,131.06/85.34
  6. Step 6: Final answer
    x = 36.69

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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.