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Finding the Fourth Proportional to 101.92, 152.52 and 97.67

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Solution

The fourth proportional to 101.92, 152.52 and 97.67 is: 146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 152.52 = 97.67 : x
  2. Step 2: Convert to fraction form
    101.92/152.52 = 97.67/x
  3. Step 3: Cross multiply
    101.92x = 152.52 × 97.67
  4. Step 4: Simplify right side
    101.92x = 14,895.87
  5. Step 5: Solve for x
    x = 14,895.87/101.92
  6. Step 6: Final answer
    x = 146.16

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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.