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Finding the Fourth Proportional to 125.96, 173.65 and 89.06

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Solution

The fourth proportional to 125.96, 173.65 and 89.06 is: 122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 173.65 = 89.06 : x
  2. Step 2: Convert to fraction form
    125.96/173.65 = 89.06/x
  3. Step 3: Cross multiply
    125.96x = 173.65 × 89.06
  4. Step 4: Simplify right side
    125.96x = 15,464.35
  5. Step 5: Solve for x
    x = 15,464.35/125.96
  6. Step 6: Final answer
    x = 122.77

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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.