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Finding the Fourth Proportional to 51.23, 70.74 and 35.70

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Solution

The fourth proportional to 51.23, 70.74 and 35.70 is: 49.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.23 : 70.74 = 35.70 : x
  2. Step 2: Convert to fraction form
    51.23/70.74 = 35.70/x
  3. Step 3: Cross multiply
    51.23x = 70.74 × 35.70
  4. Step 4: Simplify right side
    51.23x = 2,525.42
  5. Step 5: Solve for x
    x = 2,525.42/51.23
  6. Step 6: Final answer
    x = 49.30

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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.