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Finding the Fourth Proportional to 175.40, 242.04 and 96.71

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Solution

The fourth proportional to 175.40, 242.04 and 96.71 is: 133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 242.04 = 96.71 : x
  2. Step 2: Convert to fraction form
    175.40/242.04 = 96.71/x
  3. Step 3: Cross multiply
    175.40x = 242.04 × 96.71
  4. Step 4: Simplify right side
    175.40x = 23,408.58
  5. Step 5: Solve for x
    x = 23,408.58/175.40
  6. Step 6: Final answer
    x = 133.46

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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.