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Finding the Fourth Proportional to 107.54, 148.41 and 58.42

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Solution

The fourth proportional to 107.54, 148.41 and 58.42 is: 80.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.54 : 148.41 = 58.42 : x
  2. Step 2: Convert to fraction form
    107.54/148.41 = 58.42/x
  3. Step 3: Cross multiply
    107.54x = 148.41 × 58.42
  4. Step 4: Simplify right side
    107.54x = 8,669.99
  5. Step 5: Solve for x
    x = 8,669.99/107.54
  6. Step 6: Final answer
    x = 80.62

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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.