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Finding the Fourth Proportional to 45.72, 63.14 and 36.63

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Solution

The fourth proportional to 45.72, 63.14 and 36.63 is: 50.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.72 : 63.14 = 36.63 : x
  2. Step 2: Convert to fraction form
    45.72/63.14 = 36.63/x
  3. Step 3: Cross multiply
    45.72x = 63.14 × 36.63
  4. Step 4: Simplify right side
    45.72x = 2,312.82
  5. Step 5: Solve for x
    x = 2,312.82/45.72
  6. Step 6: Final answer
    x = 50.59

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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.