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Finding the Fourth Proportional to 85.77, 128.66 and 31.65

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Solution

The fourth proportional to 85.77, 128.66 and 31.65 is: 47.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 128.66 = 31.65 : x
  2. Step 2: Convert to fraction form
    85.77/128.66 = 31.65/x
  3. Step 3: Cross multiply
    85.77x = 128.66 × 31.65
  4. Step 4: Simplify right side
    85.77x = 4,072.09
  5. Step 5: Solve for x
    x = 4,072.09/85.77
  6. Step 6: Final answer
    x = 47.48

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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.