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Finding the Fourth Proportional to 114.02, 171.01 and 32.86

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Solution

The fourth proportional to 114.02, 171.01 and 32.86 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 171.01 = 32.86 : x
  2. Step 2: Convert to fraction form
    114.02/171.01 = 32.86/x
  3. Step 3: Cross multiply
    114.02x = 171.01 × 32.86
  4. Step 4: Simplify right side
    114.02x = 5,619.39
  5. Step 5: Solve for x
    x = 5,619.39/114.02
  6. Step 6: Final answer
    x = 49.28

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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.