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Finding the Fourth Proportional to 123.32, 184.98 and 37.80

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Solution

The fourth proportional to 123.32, 184.98 and 37.80 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 184.98 = 37.80 : x
  2. Step 2: Convert to fraction form
    123.32/184.98 = 37.80/x
  3. Step 3: Cross multiply
    123.32x = 184.98 × 37.80
  4. Step 4: Simplify right side
    123.32x = 6,992.24
  5. Step 5: Solve for x
    x = 6,992.24/123.32
  6. Step 6: Final answer
    x = 56.70

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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.