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Finding the Fourth Proportional to 123.34, 185.36 and 72.02

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Solution

The fourth proportional to 123.34, 185.36 and 72.02 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 185.36 = 72.02 : x
  2. Step 2: Convert to fraction form
    123.34/185.36 = 72.02/x
  3. Step 3: Cross multiply
    123.34x = 185.36 × 72.02
  4. Step 4: Simplify right side
    123.34x = 13,349.73
  5. Step 5: Solve for x
    x = 13,349.73/123.34
  6. Step 6: Final answer
    x = 108.24

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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.