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Finding the Fourth Proportional to 148.57, 223.07 and 97.07

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Solution

The fourth proportional to 148.57, 223.07 and 97.07 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 223.07 = 97.07 : x
  2. Step 2: Convert to fraction form
    148.57/223.07 = 97.07/x
  3. Step 3: Cross multiply
    148.57x = 223.07 × 97.07
  4. Step 4: Simplify right side
    148.57x = 21,651.80
  5. Step 5: Solve for x
    x = 21,651.80/148.57
  6. Step 6: Final answer
    x = 145.74

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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.