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Finding the Fourth Proportional to 114.14, 170.30 and 101.18

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Solution

The fourth proportional to 114.14, 170.30 and 101.18 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 170.30 = 101.18 : x
  2. Step 2: Convert to fraction form
    114.14/170.30 = 101.18/x
  3. Step 3: Cross multiply
    114.14x = 170.30 × 101.18
  4. Step 4: Simplify right side
    114.14x = 17,230.95
  5. Step 5: Solve for x
    x = 17,230.95/114.14
  6. Step 6: Final answer
    x = 150.96

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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.