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Finding the Fourth Proportional to 69.64, 96.26 and 50.40

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Solution

The fourth proportional to 69.64, 96.26 and 50.40 is: 69.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 96.26 = 50.40 : x
  2. Step 2: Convert to fraction form
    69.64/96.26 = 50.40/x
  3. Step 3: Cross multiply
    69.64x = 96.26 × 50.40
  4. Step 4: Simplify right side
    69.64x = 4,851.50
  5. Step 5: Solve for x
    x = 4,851.50/69.64
  6. Step 6: Final answer
    x = 69.67

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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.