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Finding the Fourth Proportional to 123.32, 184.76 and 65.41

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Solution

The fourth proportional to 123.32, 184.76 and 65.41 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 184.76 = 65.41 : x
  2. Step 2: Convert to fraction form
    123.32/184.76 = 65.41/x
  3. Step 3: Cross multiply
    123.32x = 184.76 × 65.41
  4. Step 4: Simplify right side
    123.32x = 12,085.59
  5. Step 5: Solve for x
    x = 12,085.59/123.32
  6. Step 6: Final answer
    x = 98.00

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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.