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Finding the Fourth Proportional to 107.54, 160.20 and 102.37

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Solution

The fourth proportional to 107.54, 160.20 and 102.37 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.54 : 160.20 = 102.37 : x
  2. Step 2: Convert to fraction form
    107.54/160.20 = 102.37/x
  3. Step 3: Cross multiply
    107.54x = 160.20 × 102.37
  4. Step 4: Simplify right side
    107.54x = 16,399.67
  5. Step 5: Solve for x
    x = 16,399.67/107.54
  6. Step 6: Final answer
    x = 152.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.