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Finding the Fourth Proportional to 175.60, 242.34 and 110.08

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Solution

The fourth proportional to 175.60, 242.34 and 110.08 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 242.34 = 110.08 : x
  2. Step 2: Convert to fraction form
    175.60/242.34 = 110.08/x
  3. Step 3: Cross multiply
    175.60x = 242.34 × 110.08
  4. Step 4: Simplify right side
    175.60x = 26,676.79
  5. Step 5: Solve for x
    x = 26,676.79/175.60
  6. Step 6: Final answer
    x = 151.92

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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.