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Finding the Fourth Proportional to 45.74, 68.34 and 40.46

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Solution

The fourth proportional to 45.74, 68.34 and 40.46 is: 60.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.74 : 68.34 = 40.46 : x
  2. Step 2: Convert to fraction form
    45.74/68.34 = 40.46/x
  3. Step 3: Cross multiply
    45.74x = 68.34 × 40.46
  4. Step 4: Simplify right side
    45.74x = 2,765.04
  5. Step 5: Solve for x
    x = 2,765.04/45.74
  6. Step 6: Final answer
    x = 60.45

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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.