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Finding the Fourth Proportional to 59.16, 81.46 and 50.40

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Solution

The fourth proportional to 59.16, 81.46 and 50.40 is: 69.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 81.46 = 50.40 : x
  2. Step 2: Convert to fraction form
    59.16/81.46 = 50.40/x
  3. Step 3: Cross multiply
    59.16x = 81.46 × 50.40
  4. Step 4: Simplify right side
    59.16x = 4,105.33
  5. Step 5: Solve for x
    x = 4,105.33/59.16
  6. Step 6: Final answer
    x = 69.39

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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.