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Finding the Fourth Proportional to 148, 222.24 and 96.77

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Solution

The fourth proportional to 148, 222.24 and 96.77 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 222.24 = 96.77 : x
  2. Step 2: Convert to fraction form
    148/222.24 = 96.77/x
  3. Step 3: Cross multiply
    148x = 222.24 × 96.77
  4. Step 4: Simplify right side
    148x = 21,506.16
  5. Step 5: Solve for x
    x = 21,506.16/148
  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.