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Finding the Fourth Proportional to 123.65, 185.43 and 42.47

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Solution

The fourth proportional to 123.65, 185.43 and 42.47 is: 63.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 185.43 = 42.47 : x
  2. Step 2: Convert to fraction form
    123.65/185.43 = 42.47/x
  3. Step 3: Cross multiply
    123.65x = 185.43 × 42.47
  4. Step 4: Simplify right side
    123.65x = 7,875.14
  5. Step 5: Solve for x
    x = 7,875.14/123.65
  6. Step 6: Final answer
    x = 63.69

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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.