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Finding the Fourth Proportional to 114.94, 171.13 and 114.40

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Solution

The fourth proportional to 114.94, 171.13 and 114.40 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 171.13 = 114.40 : x
  2. Step 2: Convert to fraction form
    114.94/171.13 = 114.40/x
  3. Step 3: Cross multiply
    114.94x = 171.13 × 114.40
  4. Step 4: Simplify right side
    114.94x = 19,577.27
  5. Step 5: Solve for x
    x = 19,577.27/114.94
  6. Step 6: Final answer
    x = 170.33

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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.