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Finding the Fourth Proportional to 148.21, 221.75 and 102.65

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Solution

The fourth proportional to 148.21, 221.75 and 102.65 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.21 : 221.75 = 102.65 : x
  2. Step 2: Convert to fraction form
    148.21/221.75 = 102.65/x
  3. Step 3: Cross multiply
    148.21x = 221.75 × 102.65
  4. Step 4: Simplify right side
    148.21x = 22,761.98
  5. Step 5: Solve for x
    x = 22,761.98/148.21
  6. Step 6: Final answer
    x = 153.58

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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.