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Finding the Fourth Proportional to 58.19, 80.31 and 39.77

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Solution

The fourth proportional to 58.19, 80.31 and 39.77 is: 54.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.19 : 80.31 = 39.77 : x
  2. Step 2: Convert to fraction form
    58.19/80.31 = 39.77/x
  3. Step 3: Cross multiply
    58.19x = 80.31 × 39.77
  4. Step 4: Simplify right side
    58.19x = 3,194.13
  5. Step 5: Solve for x
    x = 3,194.13/58.19
  6. Step 6: Final answer
    x = 54.90

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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.