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Finding the Fourth Proportional to 123.69, 185.88 and 65.96

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Solution

The fourth proportional to 123.69, 185.88 and 65.96 is: 99.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.69 : 185.88 = 65.96 : x
  2. Step 2: Convert to fraction form
    123.69/185.88 = 65.96/x
  3. Step 3: Cross multiply
    123.69x = 185.88 × 65.96
  4. Step 4: Simplify right side
    123.69x = 12,260.47
  5. Step 5: Solve for x
    x = 12,260.47/123.69
  6. Step 6: Final answer
    x = 99.12

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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.