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Finding the Fourth Proportional to 30.48, 42.04 and 29.60

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Solution

The fourth proportional to 30.48, 42.04 and 29.60 is: 40.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.48 : 42.04 = 29.60 : x
  2. Step 2: Convert to fraction form
    30.48/42.04 = 29.60/x
  3. Step 3: Cross multiply
    30.48x = 42.04 × 29.60
  4. Step 4: Simplify right side
    30.48x = 1,244.38
  5. Step 5: Solve for x
    x = 1,244.38/30.48
  6. Step 6: Final answer
    x = 40.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.