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Finding the Fourth Proportional to 30.66, 42.20 and 29.63

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Solution

The fourth proportional to 30.66, 42.20 and 29.63 is: 40.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 42.20 = 29.63 : x
  2. Step 2: Convert to fraction form
    30.66/42.20 = 29.63/x
  3. Step 3: Cross multiply
    30.66x = 42.20 × 29.63
  4. Step 4: Simplify right side
    30.66x = 1,250.03
  5. Step 5: Solve for x
    x = 1,250.03/30.66
  6. Step 6: Final answer
    x = 40.77

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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.