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Finding the Fourth Proportional to 45.92, 63.74 and 44.16

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Solution

The fourth proportional to 45.92, 63.74 and 44.16 is: 61.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.92 : 63.74 = 44.16 : x
  2. Step 2: Convert to fraction form
    45.92/63.74 = 44.16/x
  3. Step 3: Cross multiply
    45.92x = 63.74 × 44.16
  4. Step 4: Simplify right side
    45.92x = 2,814.76
  5. Step 5: Solve for x
    x = 2,814.76/45.92
  6. Step 6: Final answer
    x = 61.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.