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Finding the Fourth Proportional to 123.34, 185.02 and 46.30

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Solution

The fourth proportional to 123.34, 185.02 and 46.30 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 185.02 = 46.30 : x
  2. Step 2: Convert to fraction form
    123.34/185.02 = 46.30/x
  3. Step 3: Cross multiply
    123.34x = 185.02 × 46.30
  4. Step 4: Simplify right side
    123.34x = 8,565.96
  5. Step 5: Solve for x
    x = 8,565.96/123.34
  6. Step 6: Final answer
    x = 69.45

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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.