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Finding the Fourth Proportional to 51.42, 70.94 and 29.29

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Solution

The fourth proportional to 51.42, 70.94 and 29.29 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 70.94 = 29.29 : x
  2. Step 2: Convert to fraction form
    51.42/70.94 = 29.29/x
  3. Step 3: Cross multiply
    51.42x = 70.94 × 29.29
  4. Step 4: Simplify right side
    51.42x = 2,077.70
  5. Step 5: Solve for x
    x = 2,077.70/51.42
  6. Step 6: Final answer
    x = 40.41

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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.