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Finding the Fourth Proportional to 115.30, 171.92 and 105.04

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Solution

The fourth proportional to 115.30, 171.92 and 105.04 is: 156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 171.92 = 105.04 : x
  2. Step 2: Convert to fraction form
    115.30/171.92 = 105.04/x
  3. Step 3: Cross multiply
    115.30x = 171.92 × 105.04
  4. Step 4: Simplify right side
    115.30x = 18,058.48
  5. Step 5: Solve for x
    x = 18,058.48/115.30
  6. Step 6: Final answer
    x = 156.62

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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.