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Finding the Fourth Proportional to 175.11, 242.04 and 120.11

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Solution

The fourth proportional to 175.11, 242.04 and 120.11 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.11 : 242.04 = 120.11 : x
  2. Step 2: Convert to fraction form
    175.11/242.04 = 120.11/x
  3. Step 3: Cross multiply
    175.11x = 242.04 × 120.11
  4. Step 4: Simplify right side
    175.11x = 29,070.21
  5. Step 5: Solve for x
    x = 29,070.21/175.11
  6. Step 6: Final answer
    x = 166.01

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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.