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Finding the Fourth Proportional to 146.38, 202 and 99.67

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Solution

The fourth proportional to 146.38, 202 and 99.67 is: 137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.38 : 202 = 99.67 : x
  2. Step 2: Convert to fraction form
    146.38/202 = 99.67/x
  3. Step 3: Cross multiply
    146.38x = 202 × 99.67
  4. Step 4: Simplify right side
    146.38x = 20,133.34
  5. Step 5: Solve for x
    x = 20,133.34/146.38
  6. Step 6: Final answer
    x = 137.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.