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Finding the Fourth Proportional to 114.30, 170.46 and 110.88

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Solution

The fourth proportional to 114.30, 170.46 and 110.88 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 170.46 = 110.88 : x
  2. Step 2: Convert to fraction form
    114.30/170.46 = 110.88/x
  3. Step 3: Cross multiply
    114.30x = 170.46 × 110.88
  4. Step 4: Simplify right side
    114.30x = 18,900.60
  5. Step 5: Solve for x
    x = 18,900.60/114.30
  6. Step 6: Final answer
    x = 165.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.