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Finding the Fourth Proportional to 45.85, 68.75 and 24.18

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Solution

The fourth proportional to 45.85, 68.75 and 24.18 is: 36.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.85 : 68.75 = 24.18 : x
  2. Step 2: Convert to fraction form
    45.85/68.75 = 24.18/x
  3. Step 3: Cross multiply
    45.85x = 68.75 × 24.18
  4. Step 4: Simplify right side
    45.85x = 1,662.47
  5. Step 5: Solve for x
    x = 1,662.47/45.85
  6. Step 6: Final answer
    x = 36.26

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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.