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Finding the Fourth Proportional to 45.97, 68.96 and 24.32

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Solution

The fourth proportional to 45.97, 68.96 and 24.32 is: 36.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.97 : 68.96 = 24.32 : x
  2. Step 2: Convert to fraction form
    45.97/68.96 = 24.32/x
  3. Step 3: Cross multiply
    45.97x = 68.96 × 24.32
  4. Step 4: Simplify right side
    45.97x = 1,677.34
  5. Step 5: Solve for x
    x = 1,677.34/45.97
  6. Step 6: Final answer
    x = 36.49

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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.