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Finding the Fourth Proportional to 285.30, 427.91 and 79.85

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Solution

The fourth proportional to 285.30, 427.91 and 79.85 is: 119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 427.91 = 79.85 : x
  2. Step 2: Convert to fraction form
    285.30/427.91 = 79.85/x
  3. Step 3: Cross multiply
    285.30x = 427.91 × 79.85
  4. Step 4: Simplify right side
    285.30x = 34,166.07
  5. Step 5: Solve for x
    x = 34,166.07/285.30
  6. Step 6: Final answer
    x = 119.75

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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.