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Finding the Fourth Proportional to 115.24, 157.91 and 115.06

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Solution

The fourth proportional to 115.24, 157.91 and 115.06 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.24 : 157.91 = 115.06 : x
  2. Step 2: Convert to fraction form
    115.24/157.91 = 115.06/x
  3. Step 3: Cross multiply
    115.24x = 157.91 × 115.06
  4. Step 4: Simplify right side
    115.24x = 18,169.12
  5. Step 5: Solve for x
    x = 18,169.12/115.24
  6. Step 6: Final answer
    x = 157.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.