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Finding the Fourth Proportional to 123.46, 185.20 and 32.16

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Solution

The fourth proportional to 123.46, 185.20 and 32.16 is: 48.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.46 : 185.20 = 32.16 : x
  2. Step 2: Convert to fraction form
    123.46/185.20 = 32.16/x
  3. Step 3: Cross multiply
    123.46x = 185.20 × 32.16
  4. Step 4: Simplify right side
    123.46x = 5,956.03
  5. Step 5: Solve for x
    x = 5,956.03/123.46
  6. Step 6: Final answer
    x = 48.24

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Why These Related Problems?

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