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Finding the Fourth Proportional to 115.37, 157.16 and 113.15

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Solution

The fourth proportional to 115.37, 157.16 and 113.15 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.37 : 157.16 = 113.15 : x
  2. Step 2: Convert to fraction form
    115.37/157.16 = 113.15/x
  3. Step 3: Cross multiply
    115.37x = 157.16 × 113.15
  4. Step 4: Simplify right side
    115.37x = 17,781.30
  5. Step 5: Solve for x
    x = 17,781.30/115.37
  6. Step 6: Final answer
    x = 154.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.