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Finding the Fourth Proportional to 45.14, 62.24 and 32.84

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Solution

The fourth proportional to 45.14, 62.24 and 32.84 is: 45.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 62.24 = 32.84 : x
  2. Step 2: Convert to fraction form
    45.14/62.24 = 32.84/x
  3. Step 3: Cross multiply
    45.14x = 62.24 × 32.84
  4. Step 4: Simplify right side
    45.14x = 2,043.96
  5. Step 5: Solve for x
    x = 2,043.96/45.14
  6. Step 6: Final answer
    x = 45.28

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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.