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Finding the Fourth Proportional to 45.84, 63.18 and 37.60

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Solution

The fourth proportional to 45.84, 63.18 and 37.60 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 63.18 = 37.60 : x
  2. Step 2: Convert to fraction form
    45.84/63.18 = 37.60/x
  3. Step 3: Cross multiply
    45.84x = 63.18 × 37.60
  4. Step 4: Simplify right side
    45.84x = 2,375.57
  5. Step 5: Solve for x
    x = 2,375.57/45.84
  6. Step 6: Final answer
    x = 51.82

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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.