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Finding the Fourth Proportional to 45.77, 63.05 and 41.99

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Solution

The fourth proportional to 45.77, 63.05 and 41.99 is: 57.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 63.05 = 41.99 : x
  2. Step 2: Convert to fraction form
    45.77/63.05 = 41.99/x
  3. Step 3: Cross multiply
    45.77x = 63.05 × 41.99
  4. Step 4: Simplify right side
    45.77x = 2,646.94
  5. Step 5: Solve for x
    x = 2,646.94/45.77
  6. Step 6: Final answer
    x = 57.84

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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.