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Finding the Fourth Proportional to 45.68, 68.20 and 40.28

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Solution

The fourth proportional to 45.68, 68.20 and 40.28 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.68 : 68.20 = 40.28 : x
  2. Step 2: Convert to fraction form
    45.68/68.20 = 40.28/x
  3. Step 3: Cross multiply
    45.68x = 68.20 × 40.28
  4. Step 4: Simplify right side
    45.68x = 2,747.10
  5. Step 5: Solve for x
    x = 2,747.10/45.68
  6. Step 6: Final answer
    x = 60.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.