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Finding the Fourth Proportional to 161.53, 242.33 and 74.89

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Solution

The fourth proportional to 161.53, 242.33 and 74.89 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.53 : 242.33 = 74.89 : x
  2. Step 2: Convert to fraction form
    161.53/242.33 = 74.89/x
  3. Step 3: Cross multiply
    161.53x = 242.33 × 74.89
  4. Step 4: Simplify right side
    161.53x = 18,148.09
  5. Step 5: Solve for x
    x = 18,148.09/161.53
  6. Step 6: Final answer
    x = 112.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.