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Finding the Fourth Proportional to 58.33, 80.49 and 37.60

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Solution

The fourth proportional to 58.33, 80.49 and 37.60 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.33 : 80.49 = 37.60 : x
  2. Step 2: Convert to fraction form
    58.33/80.49 = 37.60/x
  3. Step 3: Cross multiply
    58.33x = 80.49 × 37.60
  4. Step 4: Simplify right side
    58.33x = 3,026.42
  5. Step 5: Solve for x
    x = 3,026.42/58.33
  6. Step 6: Final answer
    x = 51.88

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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.