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Finding the Fourth Proportional to 45.29, 67.64 and 30.74

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Solution

The fourth proportional to 45.29, 67.64 and 30.74 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.29 : 67.64 = 30.74 : x
  2. Step 2: Convert to fraction form
    45.29/67.64 = 30.74/x
  3. Step 3: Cross multiply
    45.29x = 67.64 × 30.74
  4. Step 4: Simplify right side
    45.29x = 2,078.76
  5. Step 5: Solve for x
    x = 2,078.76/45.29
  6. Step 6: Final answer
    x = 45.90

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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.