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Finding the Fourth Proportional to 30.47, 42.05 and 16.66

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Solution

The fourth proportional to 30.47, 42.05 and 16.66 is: 22.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.47 : 42.05 = 16.66 : x
  2. Step 2: Convert to fraction form
    30.47/42.05 = 16.66/x
  3. Step 3: Cross multiply
    30.47x = 42.05 × 16.66
  4. Step 4: Simplify right side
    30.47x = 700.49
  5. Step 5: Solve for x
    x = 700.49/30.47
  6. Step 6: Final answer
    x = 22.99

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