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Finding the Fourth Proportional to 123.07, 184.38 and 88.64

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Solution

The fourth proportional to 123.07, 184.38 and 88.64 is: 132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.07 : 184.38 = 88.64 : x
  2. Step 2: Convert to fraction form
    123.07/184.38 = 88.64/x
  3. Step 3: Cross multiply
    123.07x = 184.38 × 88.64
  4. Step 4: Simplify right side
    123.07x = 16,343.92
  5. Step 5: Solve for x
    x = 16,343.92/123.07
  6. Step 6: Final answer
    x = 132.80

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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.