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Finding the Fourth Proportional to 114.94, 173.45 and 114.04

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Solution

The fourth proportional to 114.94, 173.45 and 114.04 is: 172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 173.45 = 114.04 : x
  2. Step 2: Convert to fraction form
    114.94/173.45 = 114.04/x
  3. Step 3: Cross multiply
    114.94x = 173.45 × 114.04
  4. Step 4: Simplify right side
    114.94x = 19,780.24
  5. Step 5: Solve for x
    x = 19,780.24/114.94
  6. Step 6: Final answer
    x = 172.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.