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Finding the Fourth Proportional to 123.32, 185.08 and 75.08

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Solution

The fourth proportional to 123.32, 185.08 and 75.08 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 185.08 = 75.08 : x
  2. Step 2: Convert to fraction form
    123.32/185.08 = 75.08/x
  3. Step 3: Cross multiply
    123.32x = 185.08 × 75.08
  4. Step 4: Simplify right side
    123.32x = 13,895.81
  5. Step 5: Solve for x
    x = 13,895.81/123.32
  6. Step 6: Final answer
    x = 112.68

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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.