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Finding the Fourth Proportional to 58.22, 80.43 and 51.02

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Solution

The fourth proportional to 58.22, 80.43 and 51.02 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 80.43 = 51.02 : x
  2. Step 2: Convert to fraction form
    58.22/80.43 = 51.02/x
  3. Step 3: Cross multiply
    58.22x = 80.43 × 51.02
  4. Step 4: Simplify right side
    58.22x = 4,103.54
  5. Step 5: Solve for x
    x = 4,103.54/58.22
  6. Step 6: Final answer
    x = 70.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.