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Finding the Fourth Proportional to 50.85, 75.93 and 46.29

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Solution

The fourth proportional to 50.85, 75.93 and 46.29 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.85 : 75.93 = 46.29 : x
  2. Step 2: Convert to fraction form
    50.85/75.93 = 46.29/x
  3. Step 3: Cross multiply
    50.85x = 75.93 × 46.29
  4. Step 4: Simplify right side
    50.85x = 3,514.80
  5. Step 5: Solve for x
    x = 3,514.80/50.85
  6. Step 6: Final answer
    x = 69.12

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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.