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Finding the Fourth Proportional to 114.22, 171.33 and 42.06

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Solution

The fourth proportional to 114.22, 171.33 and 42.06 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 171.33 = 42.06 : x
  2. Step 2: Convert to fraction form
    114.22/171.33 = 42.06/x
  3. Step 3: Cross multiply
    114.22x = 171.33 × 42.06
  4. Step 4: Simplify right side
    114.22x = 7,206.14
  5. Step 5: Solve for x
    x = 7,206.14/114.22
  6. Step 6: Final answer
    x = 63.09

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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.