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Finding the Fourth Proportional to 114.09, 170.31 and 101.94

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Solution

The fourth proportional to 114.09, 170.31 and 101.94 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 170.31 = 101.94 : x
  2. Step 2: Convert to fraction form
    114.09/170.31 = 101.94/x
  3. Step 3: Cross multiply
    114.09x = 170.31 × 101.94
  4. Step 4: Simplify right side
    114.09x = 17,361.40
  5. Step 5: Solve for x
    x = 17,361.40/114.09
  6. Step 6: Final answer
    x = 152.17

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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.