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Finding the Fourth Proportional to 148.16, 222.21 and 87.23

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Solution

The fourth proportional to 148.16, 222.21 and 87.23 is: 130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.16 : 222.21 = 87.23 : x
  2. Step 2: Convert to fraction form
    148.16/222.21 = 87.23/x
  3. Step 3: Cross multiply
    148.16x = 222.21 × 87.23
  4. Step 4: Simplify right side
    148.16x = 19,383.93
  5. Step 5: Solve for x
    x = 19,383.93/148.16
  6. Step 6: Final answer
    x = 130.83

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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.