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Finding the Fourth Proportional to 148.23, 222.21 and 96.93

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Solution

The fourth proportional to 148.23, 222.21 and 96.93 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 222.21 = 96.93 : x
  2. Step 2: Convert to fraction form
    148.23/222.21 = 96.93/x
  3. Step 3: Cross multiply
    148.23x = 222.21 × 96.93
  4. Step 4: Simplify right side
    148.23x = 21,538.82
  5. Step 5: Solve for x
    x = 21,538.82/148.23
  6. Step 6: Final answer
    x = 145.31

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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.