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Finding the Fourth Proportional to 45.51, 62.82 and 41.60

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Solution

The fourth proportional to 45.51, 62.82 and 41.60 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.51 : 62.82 = 41.60 : x
  2. Step 2: Convert to fraction form
    45.51/62.82 = 41.60/x
  3. Step 3: Cross multiply
    45.51x = 62.82 × 41.60
  4. Step 4: Simplify right side
    45.51x = 2,613.31
  5. Step 5: Solve for x
    x = 2,613.31/45.51
  6. Step 6: Final answer
    x = 57.42

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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.