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Finding the Fourth Proportional to 169.03, 233.28 and 102.67

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Solution

The fourth proportional to 169.03, 233.28 and 102.67 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 233.28 = 102.67 : x
  2. Step 2: Convert to fraction form
    169.03/233.28 = 102.67/x
  3. Step 3: Cross multiply
    169.03x = 233.28 × 102.67
  4. Step 4: Simplify right side
    169.03x = 23,950.86
  5. Step 5: Solve for x
    x = 23,950.86/169.03
  6. Step 6: Final answer
    x = 141.70

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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.