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Finding the Fourth Proportional to 123.34, 185.01 and 32.03

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Solution

The fourth proportional to 123.34, 185.01 and 32.03 is: 48.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 185.01 = 32.03 : x
  2. Step 2: Convert to fraction form
    123.34/185.01 = 32.03/x
  3. Step 3: Cross multiply
    123.34x = 185.01 × 32.03
  4. Step 4: Simplify right side
    123.34x = 5,926.39
  5. Step 5: Solve for x
    x = 5,926.39/123.34
  6. Step 6: Final answer
    x = 48.05

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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.