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Finding the Fourth Proportional to 123.53, 185.25 and 32.20

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Solution

The fourth proportional to 123.53, 185.25 and 32.20 is: 48.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.53 : 185.25 = 32.20 : x
  2. Step 2: Convert to fraction form
    123.53/185.25 = 32.20/x
  3. Step 3: Cross multiply
    123.53x = 185.25 × 32.20
  4. Step 4: Simplify right side
    123.53x = 5,964.71
  5. Step 5: Solve for x
    x = 5,964.71/123.53
  6. Step 6: Final answer
    x = 48.29

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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.