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Finding the Fourth Proportional to 125.68, 189.28 and 105.52

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Solution

The fourth proportional to 125.68, 189.28 and 105.52 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.68 : 189.28 = 105.52 : x
  2. Step 2: Convert to fraction form
    125.68/189.28 = 105.52/x
  3. Step 3: Cross multiply
    125.68x = 189.28 × 105.52
  4. Step 4: Simplify right side
    125.68x = 19,972.83
  5. Step 5: Solve for x
    x = 19,972.83/125.68
  6. Step 6: Final answer
    x = 158.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.