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Finding the Fourth Proportional to 45.76, 63.11 and 30.98

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Solution

The fourth proportional to 45.76, 63.11 and 30.98 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 63.11 = 30.98 : x
  2. Step 2: Convert to fraction form
    45.76/63.11 = 30.98/x
  3. Step 3: Cross multiply
    45.76x = 63.11 × 30.98
  4. Step 4: Simplify right side
    45.76x = 1,955.15
  5. Step 5: Solve for x
    x = 1,955.15/45.76
  6. Step 6: Final answer
    x = 42.73

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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.