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Finding the Fourth Proportional to 115.32, 157.87 and 114.52

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Solution

The fourth proportional to 115.32, 157.87 and 114.52 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.32 : 157.87 = 114.52 : x
  2. Step 2: Convert to fraction form
    115.32/157.87 = 114.52/x
  3. Step 3: Cross multiply
    115.32x = 157.87 × 114.52
  4. Step 4: Simplify right side
    115.32x = 18,079.27
  5. Step 5: Solve for x
    x = 18,079.27/115.32
  6. Step 6: Final answer
    x = 156.77

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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.