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Finding the Fourth Proportional to 51.20, 70.66 and 29.37

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Solution

The fourth proportional to 51.20, 70.66 and 29.37 is: 40.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.20 : 70.66 = 29.37 : x
  2. Step 2: Convert to fraction form
    51.20/70.66 = 29.37/x
  3. Step 3: Cross multiply
    51.20x = 70.66 × 29.37
  4. Step 4: Simplify right side
    51.20x = 2,075.14
  5. Step 5: Solve for x
    x = 2,075.14/51.20
  6. Step 6: Final answer
    x = 40.53

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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.