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Finding the Fourth Proportional to 114.27, 171.42 and 42.15

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Solution

The fourth proportional to 114.27, 171.42 and 42.15 is: 63.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 171.42 = 42.15 : x
  2. Step 2: Convert to fraction form
    114.27/171.42 = 42.15/x
  3. Step 3: Cross multiply
    114.27x = 171.42 × 42.15
  4. Step 4: Simplify right side
    114.27x = 7,225.35
  5. Step 5: Solve for x
    x = 7,225.35/114.27
  6. Step 6: Final answer
    x = 63.23

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