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Finding the Fourth Proportional to 123.18, 184.00 and 90.39

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Solution

The fourth proportional to 123.18, 184.00 and 90.39 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.18 : 184.00 = 90.39 : x
  2. Step 2: Convert to fraction form
    123.18/184.00 = 90.39/x
  3. Step 3: Cross multiply
    123.18x = 184.00 × 90.39
  4. Step 4: Simplify right side
    123.18x = 16,631.31
  5. Step 5: Solve for x
    x = 16,631.31/123.18
  6. Step 6: Final answer
    x = 135.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.