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Finding the Fourth Proportional to 45.40, 68.14 and 30.93

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Solution

The fourth proportional to 45.40, 68.14 and 30.93 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.40 : 68.14 = 30.93 : x
  2. Step 2: Convert to fraction form
    45.40/68.14 = 30.93/x
  3. Step 3: Cross multiply
    45.40x = 68.14 × 30.93
  4. Step 4: Simplify right side
    45.40x = 2,107.07
  5. Step 5: Solve for x
    x = 2,107.07/45.40
  6. Step 6: Final answer
    x = 46.41

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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.