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Finding the Fourth Proportional to 175.54, 242.31 and 110.05

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Solution

The fourth proportional to 175.54, 242.31 and 110.05 is: 151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.54 : 242.31 = 110.05 : x
  2. Step 2: Convert to fraction form
    175.54/242.31 = 110.05/x
  3. Step 3: Cross multiply
    175.54x = 242.31 × 110.05
  4. Step 4: Simplify right side
    175.54x = 26,665.00
  5. Step 5: Solve for x
    x = 26,665.00/175.54
  6. Step 6: Final answer
    x = 151.90

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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.