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Finding the Fourth Proportional to 137.25, 188.87 and 106.02

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Solution

The fourth proportional to 137.25, 188.87 and 106.02 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 188.87 = 106.02 : x
  2. Step 2: Convert to fraction form
    137.25/188.87 = 106.02/x
  3. Step 3: Cross multiply
    137.25x = 188.87 × 106.02
  4. Step 4: Simplify right side
    137.25x = 20,023.47
  5. Step 5: Solve for x
    x = 20,023.47/137.25
  6. Step 6: Final answer
    x = 145.89

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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.