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Finding the Fourth Proportional to 65.37, 90.21 and 50.79

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Solution

The fourth proportional to 65.37, 90.21 and 50.79 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 90.21 = 50.79 : x
  2. Step 2: Convert to fraction form
    65.37/90.21 = 50.79/x
  3. Step 3: Cross multiply
    65.37x = 90.21 × 50.79
  4. Step 4: Simplify right side
    65.37x = 4,581.77
  5. Step 5: Solve for x
    x = 4,581.77/65.37
  6. Step 6: Final answer
    x = 70.09

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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.