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Finding the Fourth Proportional to 45.28, 62.34 and 42.22

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Solution

The fourth proportional to 45.28, 62.34 and 42.22 is: 58.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.28 : 62.34 = 42.22 : x
  2. Step 2: Convert to fraction form
    45.28/62.34 = 42.22/x
  3. Step 3: Cross multiply
    45.28x = 62.34 × 42.22
  4. Step 4: Simplify right side
    45.28x = 2,631.99
  5. Step 5: Solve for x
    x = 2,631.99/45.28
  6. Step 6: Final answer
    x = 58.13

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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.