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Finding the Fourth Proportional to 114.10, 171.10 and 102.05

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Solution

The fourth proportional to 114.10, 171.10 and 102.05 is: 153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 171.10 = 102.05 : x
  2. Step 2: Convert to fraction form
    114.10/171.10 = 102.05/x
  3. Step 3: Cross multiply
    114.10x = 171.10 × 102.05
  4. Step 4: Simplify right side
    114.10x = 17,460.09
  5. Step 5: Solve for x
    x = 17,460.09/114.10
  6. Step 6: Final answer
    x = 153.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.