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Finding the Fourth Proportional to 114.16, 171.24 and 28.66

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Solution

The fourth proportional to 114.16, 171.24 and 28.66 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 171.24 = 28.66 : x
  2. Step 2: Convert to fraction form
    114.16/171.24 = 28.66/x
  3. Step 3: Cross multiply
    114.16x = 171.24 × 28.66
  4. Step 4: Simplify right side
    114.16x = 4,906.95
  5. Step 5: Solve for x
    x = 4,906.95/114.16
  6. Step 6: Final answer
    x = 42.98

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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.