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Finding the Fourth Proportional to 45.81, 63.15 and 38.94

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Solution

The fourth proportional to 45.81, 63.15 and 38.94 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.81 : 63.15 = 38.94 : x
  2. Step 2: Convert to fraction form
    45.81/63.15 = 38.94/x
  3. Step 3: Cross multiply
    45.81x = 63.15 × 38.94
  4. Step 4: Simplify right side
    45.81x = 2,459.06
  5. Step 5: Solve for x
    x = 2,459.06/45.81
  6. Step 6: Final answer
    x = 53.68

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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.