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Finding the Fourth Proportional to 51.26, 70.45 and 48

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Solution

The fourth proportional to 51.26, 70.45 and 48 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 70.45 = 48 : x
  2. Step 2: Convert to fraction form
    51.26/70.45 = 48/x
  3. Step 3: Cross multiply
    51.26x = 70.45 × 48
  4. Step 4: Simplify right side
    51.26x = 3,381.60
  5. Step 5: Solve for x
    x = 3,381.60/51.26
  6. Step 6: Final answer
    x = 65.97

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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.