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Finding the Fourth Proportional to 175.84, 242.69 and 105.94

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Solution

The fourth proportional to 175.84, 242.69 and 105.94 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 242.69 = 105.94 : x
  2. Step 2: Convert to fraction form
    175.84/242.69 = 105.94/x
  3. Step 3: Cross multiply
    175.84x = 242.69 × 105.94
  4. Step 4: Simplify right side
    175.84x = 25,710.58
  5. Step 5: Solve for x
    x = 25,710.58/175.84
  6. Step 6: Final answer
    x = 146.22

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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.