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Finding the Fourth Proportional to 58.49, 80.68 and 42.09

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Solution

The fourth proportional to 58.49, 80.68 and 42.09 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.49 : 80.68 = 42.09 : x
  2. Step 2: Convert to fraction form
    58.49/80.68 = 42.09/x
  3. Step 3: Cross multiply
    58.49x = 80.68 × 42.09
  4. Step 4: Simplify right side
    58.49x = 3,395.49
  5. Step 5: Solve for x
    x = 3,395.49/58.49
  6. Step 6: Final answer
    x = 58.05

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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.