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Finding the Fourth Proportional to 176.10, 242.89 and 123.66

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Solution

The fourth proportional to 176.10, 242.89 and 123.66 is: 170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 242.89 = 123.66 : x
  2. Step 2: Convert to fraction form
    176.10/242.89 = 123.66/x
  3. Step 3: Cross multiply
    176.10x = 242.89 × 123.66
  4. Step 4: Simplify right side
    176.10x = 30,035.78
  5. Step 5: Solve for x
    x = 30,035.78/176.10
  6. Step 6: Final answer
    x = 170.56

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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.