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Finding the Fourth Proportional to 114.10, 170.17 and 103.17

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Solution

The fourth proportional to 114.10, 170.17 and 103.17 is: 153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 170.17 = 103.17 : x
  2. Step 2: Convert to fraction form
    114.10/170.17 = 103.17/x
  3. Step 3: Cross multiply
    114.10x = 170.17 × 103.17
  4. Step 4: Simplify right side
    114.10x = 17,556.44
  5. Step 5: Solve for x
    x = 17,556.44/114.10
  6. Step 6: Final answer
    x = 153.87

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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.