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Finding the Fourth Proportional to 29.06, 40.10 and 16.78

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Solution

The fourth proportional to 29.06, 40.10 and 16.78 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 40.10 = 16.78 : x
  2. Step 2: Convert to fraction form
    29.06/40.10 = 16.78/x
  3. Step 3: Cross multiply
    29.06x = 40.10 × 16.78
  4. Step 4: Simplify right side
    29.06x = 672.59
  5. Step 5: Solve for x
    x = 672.59/29.06
  6. Step 6: Final answer
    x = 23.14

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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.