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Finding the Fourth Proportional to 45.78, 68.65 and 20.08

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Solution

The fourth proportional to 45.78, 68.65 and 20.08 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 68.65 = 20.08 : x
  2. Step 2: Convert to fraction form
    45.78/68.65 = 20.08/x
  3. Step 3: Cross multiply
    45.78x = 68.65 × 20.08
  4. Step 4: Simplify right side
    45.78x = 1,378.47
  5. Step 5: Solve for x
    x = 1,378.47/45.78
  6. Step 6: Final answer
    x = 30.11

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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.