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Finding the Fourth Proportional to 125.16, 171.78 and 120.15

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Solution

The fourth proportional to 125.16, 171.78 and 120.15 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 171.78 = 120.15 : x
  2. Step 2: Convert to fraction form
    125.16/171.78 = 120.15/x
  3. Step 3: Cross multiply
    125.16x = 171.78 × 120.15
  4. Step 4: Simplify right side
    125.16x = 20,639.37
  5. Step 5: Solve for x
    x = 20,639.37/125.16
  6. Step 6: Final answer
    x = 164.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.