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Finding the Fourth Proportional to 114.79, 171.87 and 74.11

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Solution

The fourth proportional to 114.79, 171.87 and 74.11 is: 110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.79 : 171.87 = 74.11 : x
  2. Step 2: Convert to fraction form
    114.79/171.87 = 74.11/x
  3. Step 3: Cross multiply
    114.79x = 171.87 × 74.11
  4. Step 4: Simplify right side
    114.79x = 12,737.29
  5. Step 5: Solve for x
    x = 12,737.29/114.79
  6. Step 6: Final answer
    x = 110.96

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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.