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Finding the Fourth Proportional to 175.42, 242.01 and 109.88

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Solution

The fourth proportional to 175.42, 242.01 and 109.88 is: 151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 242.01 = 109.88 : x
  2. Step 2: Convert to fraction form
    175.42/242.01 = 109.88/x
  3. Step 3: Cross multiply
    175.42x = 242.01 × 109.88
  4. Step 4: Simplify right side
    175.42x = 26,592.06
  5. Step 5: Solve for x
    x = 26,592.06/175.42
  6. Step 6: Final answer
    x = 151.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.