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Finding the Fourth Proportional to 50.99, 70.31 and 36.24

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Solution

The fourth proportional to 50.99, 70.31 and 36.24 is: 49.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.99 : 70.31 = 36.24 : x
  2. Step 2: Convert to fraction form
    50.99/70.31 = 36.24/x
  3. Step 3: Cross multiply
    50.99x = 70.31 × 36.24
  4. Step 4: Simplify right side
    50.99x = 2,547.85
  5. Step 5: Solve for x
    x = 2,547.85/50.99
  6. Step 6: Final answer
    x = 49.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.