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Finding the Fourth Proportional to 30.66, 45.96 and 12.60

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Solution

The fourth proportional to 30.66, 45.96 and 12.60 is: 18.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 45.96 = 12.60 : x
  2. Step 2: Convert to fraction form
    30.66/45.96 = 12.60/x
  3. Step 3: Cross multiply
    30.66x = 45.96 × 12.60
  4. Step 4: Simplify right side
    30.66x = 579.10
  5. Step 5: Solve for x
    x = 579.10/30.66
  6. Step 6: Final answer
    x = 18.89

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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.