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Finding the Fourth Proportional to 114.14, 171.17 and 60.05

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Solution

The fourth proportional to 114.14, 171.17 and 60.05 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 171.17 = 60.05 : x
  2. Step 2: Convert to fraction form
    114.14/171.17 = 60.05/x
  3. Step 3: Cross multiply
    114.14x = 171.17 × 60.05
  4. Step 4: Simplify right side
    114.14x = 10,277.60
  5. Step 5: Solve for x
    x = 10,277.60/114.14
  6. Step 6: Final answer
    x = 90.05

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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.