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Finding the Fourth Proportional to 137.23, 189.38 and 75.06

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Solution

The fourth proportional to 137.23, 189.38 and 75.06 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 189.38 = 75.06 : x
  2. Step 2: Convert to fraction form
    137.23/189.38 = 75.06/x
  3. Step 3: Cross multiply
    137.23x = 189.38 × 75.06
  4. Step 4: Simplify right side
    137.23x = 14,214.27
  5. Step 5: Solve for x
    x = 14,214.27/137.23
  6. Step 6: Final answer
    x = 103.58

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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.