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Finding the Fourth Proportional to 114.64, 158.08 and 83.52

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Solution

The fourth proportional to 114.64, 158.08 and 83.52 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 158.08 = 83.52 : x
  2. Step 2: Convert to fraction form
    114.64/158.08 = 83.52/x
  3. Step 3: Cross multiply
    114.64x = 158.08 × 83.52
  4. Step 4: Simplify right side
    114.64x = 13,202.84
  5. Step 5: Solve for x
    x = 13,202.84/114.64
  6. Step 6: Final answer
    x = 115.17

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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.