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Finding the Fourth Proportional to 64.13, 96.26 and 50.45

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Solution

The fourth proportional to 64.13, 96.26 and 50.45 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 96.26 = 50.45 : x
  2. Step 2: Convert to fraction form
    64.13/96.26 = 50.45/x
  3. Step 3: Cross multiply
    64.13x = 96.26 × 50.45
  4. Step 4: Simplify right side
    64.13x = 4,855.58
  5. Step 5: Solve for x
    x = 4,855.58/64.13
  6. Step 6: Final answer
    x = 75.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.