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Finding the Fourth Proportional to 45.53, 62.75 and 36.76

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Solution

The fourth proportional to 45.53, 62.75 and 36.76 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.53 : 62.75 = 36.76 : x
  2. Step 2: Convert to fraction form
    45.53/62.75 = 36.76/x
  3. Step 3: Cross multiply
    45.53x = 62.75 × 36.76
  4. Step 4: Simplify right side
    45.53x = 2,306.69
  5. Step 5: Solve for x
    x = 2,306.69/45.53
  6. Step 6: Final answer
    x = 50.66

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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.