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Finding the Fourth Proportional to 175.71, 242.48 and 98.09

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Solution

The fourth proportional to 175.71, 242.48 and 98.09 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 242.48 = 98.09 : x
  2. Step 2: Convert to fraction form
    175.71/242.48 = 98.09/x
  3. Step 3: Cross multiply
    175.71x = 242.48 × 98.09
  4. Step 4: Simplify right side
    175.71x = 23,784.86
  5. Step 5: Solve for x
    x = 23,784.86/175.71
  6. Step 6: Final answer
    x = 135.36

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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.