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Finding the Fourth Proportional to 114.23, 171.23 and 53.34

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Solution

The fourth proportional to 114.23, 171.23 and 53.34 is: 79.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 171.23 = 53.34 : x
  2. Step 2: Convert to fraction form
    114.23/171.23 = 53.34/x
  3. Step 3: Cross multiply
    114.23x = 171.23 × 53.34
  4. Step 4: Simplify right side
    114.23x = 9,133.54
  5. Step 5: Solve for x
    x = 9,133.54/114.23
  6. Step 6: Final answer
    x = 79.96

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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.