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Finding the Fourth Proportional to 46.05, 69.06 and 21.34

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Solution

The fourth proportional to 46.05, 69.06 and 21.34 is: 32.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.05 : 69.06 = 21.34 : x
  2. Step 2: Convert to fraction form
    46.05/69.06 = 21.34/x
  3. Step 3: Cross multiply
    46.05x = 69.06 × 21.34
  4. Step 4: Simplify right side
    46.05x = 1,473.74
  5. Step 5: Solve for x
    x = 1,473.74/46.05
  6. Step 6: Final answer
    x = 32.00

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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.