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Finding the Fourth Proportional to 29.14, 40.20 and 19.46

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Solution

The fourth proportional to 29.14, 40.20 and 19.46 is: 26.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.14 : 40.20 = 19.46 : x
  2. Step 2: Convert to fraction form
    29.14/40.20 = 19.46/x
  3. Step 3: Cross multiply
    29.14x = 40.20 × 19.46
  4. Step 4: Simplify right side
    29.14x = 782.29
  5. Step 5: Solve for x
    x = 782.29/29.14
  6. Step 6: Final answer
    x = 26.85

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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.