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Finding the Fourth Proportional to 85.70, 128.32 and 51.41

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Solution

The fourth proportional to 85.70, 128.32 and 51.41 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.70 : 128.32 = 51.41 : x
  2. Step 2: Convert to fraction form
    85.70/128.32 = 51.41/x
  3. Step 3: Cross multiply
    85.70x = 128.32 × 51.41
  4. Step 4: Simplify right side
    85.70x = 6,596.79
  5. Step 5: Solve for x
    x = 6,596.79/85.70
  6. Step 6: Final answer
    x = 76.98

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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.