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Finding the Fourth Proportional to 30.85, 46 and 26.59

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Solution

The fourth proportional to 30.85, 46 and 26.59 is: 39.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 46 = 26.59 : x
  2. Step 2: Convert to fraction form
    30.85/46 = 26.59/x
  3. Step 3: Cross multiply
    30.85x = 46 × 26.59
  4. Step 4: Simplify right side
    30.85x = 1,223.14
  5. Step 5: Solve for x
    x = 1,223.14/30.85
  6. Step 6: Final answer
    x = 39.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.