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Finding the Fourth Proportional to 114.32, 158.01 and 92.45

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Solution

The fourth proportional to 114.32, 158.01 and 92.45 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 158.01 = 92.45 : x
  2. Step 2: Convert to fraction form
    114.32/158.01 = 92.45/x
  3. Step 3: Cross multiply
    114.32x = 158.01 × 92.45
  4. Step 4: Simplify right side
    114.32x = 14,608.02
  5. Step 5: Solve for x
    x = 14,608.02/114.32
  6. Step 6: Final answer
    x = 127.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.