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Finding the Fourth Proportional to 114.66, 171.18 and 94.14

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Solution

The fourth proportional to 114.66, 171.18 and 94.14 is: 140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 171.18 = 94.14 : x
  2. Step 2: Convert to fraction form
    114.66/171.18 = 94.14/x
  3. Step 3: Cross multiply
    114.66x = 171.18 × 94.14
  4. Step 4: Simplify right side
    114.66x = 16,114.89
  5. Step 5: Solve for x
    x = 16,114.89/114.66
  6. Step 6: Final answer
    x = 140.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.