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Finding the Fourth Proportional to 107.57, 148.45 and 58.45

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Solution

The fourth proportional to 107.57, 148.45 and 58.45 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.57 : 148.45 = 58.45 : x
  2. Step 2: Convert to fraction form
    107.57/148.45 = 58.45/x
  3. Step 3: Cross multiply
    107.57x = 148.45 × 58.45
  4. Step 4: Simplify right side
    107.57x = 8,675.87
  5. Step 5: Solve for x
    x = 8,675.87/107.57
  6. Step 6: Final answer
    x = 80.65

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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.