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Finding the Fourth Proportional to 58.54, 80.67 and 42.14

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Solution

The fourth proportional to 58.54, 80.67 and 42.14 is: 58.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 80.67 = 42.14 : x
  2. Step 2: Convert to fraction form
    58.54/80.67 = 42.14/x
  3. Step 3: Cross multiply
    58.54x = 80.67 × 42.14
  4. Step 4: Simplify right side
    58.54x = 3,399.43
  5. Step 5: Solve for x
    x = 3,399.43/58.54
  6. Step 6: Final answer
    x = 58.07

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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.