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Finding the Fourth Proportional to 114.64, 158.08 and 83.66

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Solution

The fourth proportional to 114.64, 158.08 and 83.66 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 158.08 = 83.66 : x
  2. Step 2: Convert to fraction form
    114.64/158.08 = 83.66/x
  3. Step 3: Cross multiply
    114.64x = 158.08 × 83.66
  4. Step 4: Simplify right side
    114.64x = 13,224.97
  5. Step 5: Solve for x
    x = 13,224.97/114.64
  6. Step 6: Final answer
    x = 115.36

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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.