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Finding the Fourth Proportional to 114.23, 171.30 and 45.76

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Solution

The fourth proportional to 114.23, 171.30 and 45.76 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 171.30 = 45.76 : x
  2. Step 2: Convert to fraction form
    114.23/171.30 = 45.76/x
  3. Step 3: Cross multiply
    114.23x = 171.30 × 45.76
  4. Step 4: Simplify right side
    114.23x = 7,838.69
  5. Step 5: Solve for x
    x = 7,838.69/114.23
  6. Step 6: Final answer
    x = 68.62

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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.