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Finding the Fourth Proportional to 115.31, 157.76 and 114.86

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Solution

The fourth proportional to 115.31, 157.76 and 114.86 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 157.76 = 114.86 : x
  2. Step 2: Convert to fraction form
    115.31/157.76 = 114.86/x
  3. Step 3: Cross multiply
    115.31x = 157.76 × 114.86
  4. Step 4: Simplify right side
    115.31x = 18,118.95
  5. Step 5: Solve for x
    x = 18,118.95/115.31
  6. Step 6: Final answer
    x = 157.14

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Why These Related Problems?

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