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Finding the Fourth Proportional to 85.96, 128.89 and 31.11

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Solution

The fourth proportional to 85.96, 128.89 and 31.11 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.89 = 31.11 : x
  2. Step 2: Convert to fraction form
    85.96/128.89 = 31.11/x
  3. Step 3: Cross multiply
    85.96x = 128.89 × 31.11
  4. Step 4: Simplify right side
    85.96x = 4,009.77
  5. Step 5: Solve for x
    x = 4,009.77/85.96
  6. Step 6: Final answer
    x = 46.65

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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.