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Finding the Fourth Proportional to 85.64, 128.41 and 30.77

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Solution

The fourth proportional to 85.64, 128.41 and 30.77 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 128.41 = 30.77 : x
  2. Step 2: Convert to fraction form
    85.64/128.41 = 30.77/x
  3. Step 3: Cross multiply
    85.64x = 128.41 × 30.77
  4. Step 4: Simplify right side
    85.64x = 3,951.18
  5. Step 5: Solve for x
    x = 3,951.18/85.64
  6. Step 6: Final answer
    x = 46.14

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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.