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Finding the Fourth Proportional to 114.30, 171.46 and 37.23

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Solution

The fourth proportional to 114.30, 171.46 and 37.23 is: 55.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 171.46 = 37.23 : x
  2. Step 2: Convert to fraction form
    114.30/171.46 = 37.23/x
  3. Step 3: Cross multiply
    114.30x = 171.46 × 37.23
  4. Step 4: Simplify right side
    114.30x = 6,384.31
  5. Step 5: Solve for x
    x = 6,384.31/114.30
  6. Step 6: Final answer
    x = 55.85

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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.