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Finding the Fourth Proportional to 123.65, 185.48 and 121.13

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Solution

The fourth proportional to 123.65, 185.48 and 121.13 is: 181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 185.48 = 121.13 : x
  2. Step 2: Convert to fraction form
    123.65/185.48 = 121.13/x
  3. Step 3: Cross multiply
    123.65x = 185.48 × 121.13
  4. Step 4: Simplify right side
    123.65x = 22,466.59
  5. Step 5: Solve for x
    x = 22,466.59/123.65
  6. Step 6: Final answer
    x = 181.70

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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.