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Finding the Fourth Proportional to 50.93, 76.20 and 30.29

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Solution

The fourth proportional to 50.93, 76.20 and 30.29 is: 45.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.93 : 76.20 = 30.29 : x
  2. Step 2: Convert to fraction form
    50.93/76.20 = 30.29/x
  3. Step 3: Cross multiply
    50.93x = 76.20 × 30.29
  4. Step 4: Simplify right side
    50.93x = 2,307.92
  5. Step 5: Solve for x
    x = 2,307.92/50.93
  6. Step 6: Final answer
    x = 45.32

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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.