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Finding the Fourth Proportional to 176.14, 264.23 and 67.93

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Solution

The fourth proportional to 176.14, 264.23 and 67.93 is: 101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 264.23 = 67.93 : x
  2. Step 2: Convert to fraction form
    176.14/264.23 = 67.93/x
  3. Step 3: Cross multiply
    176.14x = 264.23 × 67.93
  4. Step 4: Simplify right side
    176.14x = 17,949.14
  5. Step 5: Solve for x
    x = 17,949.14/176.14
  6. Step 6: Final answer
    x = 101.90

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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.