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Finding the Fourth Proportional to 51.68, 70.90 and 49.16

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Solution

The fourth proportional to 51.68, 70.90 and 49.16 is: 67.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.68 : 70.90 = 49.16 : x
  2. Step 2: Convert to fraction form
    51.68/70.90 = 49.16/x
  3. Step 3: Cross multiply
    51.68x = 70.90 × 49.16
  4. Step 4: Simplify right side
    51.68x = 3,485.44
  5. Step 5: Solve for x
    x = 3,485.44/51.68
  6. Step 6: Final answer
    x = 67.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.