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Finding the Fourth Proportional to 114.00, 171.02 and 36.97

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Solution

The fourth proportional to 114.00, 171.02 and 36.97 is: 55.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.00 : 171.02 = 36.97 : x
  2. Step 2: Convert to fraction form
    114.00/171.02 = 36.97/x
  3. Step 3: Cross multiply
    114.00x = 171.02 × 36.97
  4. Step 4: Simplify right side
    114.00x = 6,323.04
  5. Step 5: Solve for x
    x = 6,323.04/114.00
  6. Step 6: Final answer
    x = 55.47

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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.