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Finding the Fourth Proportional to 30.97, 46.63 and 24.24

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Solution

The fourth proportional to 30.97, 46.63 and 24.24 is: 36.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 46.63 = 24.24 : x
  2. Step 2: Convert to fraction form
    30.97/46.63 = 24.24/x
  3. Step 3: Cross multiply
    30.97x = 46.63 × 24.24
  4. Step 4: Simplify right side
    30.97x = 1,130.31
  5. Step 5: Solve for x
    x = 1,130.31/30.97
  6. Step 6: Final answer
    x = 36.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.