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Finding the Fourth Proportional to 123.79, 185.78 and 65.26

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Solution

The fourth proportional to 123.79, 185.78 and 65.26 is: 97.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.79 : 185.78 = 65.26 : x
  2. Step 2: Convert to fraction form
    123.79/185.78 = 65.26/x
  3. Step 3: Cross multiply
    123.79x = 185.78 × 65.26
  4. Step 4: Simplify right side
    123.79x = 12,123.40
  5. Step 5: Solve for x
    x = 12,123.40/123.79
  6. Step 6: Final answer
    x = 97.94

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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.