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Finding the Fourth Proportional to 45.85, 68.31 and 45.55

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Solution

The fourth proportional to 45.85, 68.31 and 45.55 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.85 : 68.31 = 45.55 : x
  2. Step 2: Convert to fraction form
    45.85/68.31 = 45.55/x
  3. Step 3: Cross multiply
    45.85x = 68.31 × 45.55
  4. Step 4: Simplify right side
    45.85x = 3,111.52
  5. Step 5: Solve for x
    x = 3,111.52/45.85
  6. Step 6: Final answer
    x = 67.86

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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.