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Finding the Fourth Proportional to 46.42, 69.54 and 36.21

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Solution

The fourth proportional to 46.42, 69.54 and 36.21 is: 54.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 69.54 = 36.21 : x
  2. Step 2: Convert to fraction form
    46.42/69.54 = 36.21/x
  3. Step 3: Cross multiply
    46.42x = 69.54 × 36.21
  4. Step 4: Simplify right side
    46.42x = 2,518.04
  5. Step 5: Solve for x
    x = 2,518.04/46.42
  6. Step 6: Final answer
    x = 54.24

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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.