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Finding the Fourth Proportional to 85.44, 128.16 and 31.38

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Solution

The fourth proportional to 85.44, 128.16 and 31.38 is: 47.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.44 : 128.16 = 31.38 : x
  2. Step 2: Convert to fraction form
    85.44/128.16 = 31.38/x
  3. Step 3: Cross multiply
    85.44x = 128.16 × 31.38
  4. Step 4: Simplify right side
    85.44x = 4,021.66
  5. Step 5: Solve for x
    x = 4,021.66/85.44
  6. Step 6: Final answer
    x = 47.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.