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Finding the Fourth Proportional to 58.34, 80.42 and 37.61

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Solution

The fourth proportional to 58.34, 80.42 and 37.61 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.34 : 80.42 = 37.61 : x
  2. Step 2: Convert to fraction form
    58.34/80.42 = 37.61/x
  3. Step 3: Cross multiply
    58.34x = 80.42 × 37.61
  4. Step 4: Simplify right side
    58.34x = 3,024.89
  5. Step 5: Solve for x
    x = 3,024.89/58.34
  6. Step 6: Final answer
    x = 51.85

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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.