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Finding the Fourth Proportional to 85.69, 128.46 and 31.56

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Solution

The fourth proportional to 85.69, 128.46 and 31.56 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 128.46 = 31.56 : x
  2. Step 2: Convert to fraction form
    85.69/128.46 = 31.56/x
  3. Step 3: Cross multiply
    85.69x = 128.46 × 31.56
  4. Step 4: Simplify right side
    85.69x = 4,054.20
  5. Step 5: Solve for x
    x = 4,054.20/85.69
  6. Step 6: Final answer
    x = 47.31

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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.