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Finding the Fourth Proportional to 30.63, 45.96 and 17.78

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Solution

The fourth proportional to 30.63, 45.96 and 17.78 is: 26.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.63 : 45.96 = 17.78 : x
  2. Step 2: Convert to fraction form
    30.63/45.96 = 17.78/x
  3. Step 3: Cross multiply
    30.63x = 45.96 × 17.78
  4. Step 4: Simplify right side
    30.63x = 817.17
  5. Step 5: Solve for x
    x = 817.17/30.63
  6. Step 6: Final answer
    x = 26.68

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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.