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Finding the Fourth Proportional to 45.35, 62.75 and 38.42

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Solution

The fourth proportional to 45.35, 62.75 and 38.42 is: 53.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.35 : 62.75 = 38.42 : x
  2. Step 2: Convert to fraction form
    45.35/62.75 = 38.42/x
  3. Step 3: Cross multiply
    45.35x = 62.75 × 38.42
  4. Step 4: Simplify right side
    45.35x = 2,410.66
  5. Step 5: Solve for x
    x = 2,410.66/45.35
  6. Step 6: Final answer
    x = 53.16

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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.