Home / 148.24-222.15-120.70

Finding the Fourth Proportional to 148.24, 222.15 and 120.70

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Solution

The fourth proportional to 148.24, 222.15 and 120.70 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 222.15 = 120.70 : x
  2. Step 2: Convert to fraction form
    148.24/222.15 = 120.70/x
  3. Step 3: Cross multiply
    148.24x = 222.15 × 120.70
  4. Step 4: Simplify right side
    148.24x = 26,813.51
  5. Step 5: Solve for x
    x = 26,813.51/148.24
  6. Step 6: Final answer
    x = 180.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.