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Finding the Fourth Proportional to 175.42, 242.08 and 109.92

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Solution

The fourth proportional to 175.42, 242.08 and 109.92 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 242.08 = 109.92 : x
  2. Step 2: Convert to fraction form
    175.42/242.08 = 109.92/x
  3. Step 3: Cross multiply
    175.42x = 242.08 × 109.92
  4. Step 4: Simplify right side
    175.42x = 26,609.43
  5. Step 5: Solve for x
    x = 26,609.43/175.42
  6. Step 6: Final answer
    x = 151.69

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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.