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Finding the Fourth Proportional to 85.42, 128.26 and 51.34

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Solution

The fourth proportional to 85.42, 128.26 and 51.34 is: 77.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.42 : 128.26 = 51.34 : x
  2. Step 2: Convert to fraction form
    85.42/128.26 = 51.34/x
  3. Step 3: Cross multiply
    85.42x = 128.26 × 51.34
  4. Step 4: Simplify right side
    85.42x = 6,584.68
  5. Step 5: Solve for x
    x = 6,584.68/85.42
  6. Step 6: Final answer
    x = 77.08

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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.