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Finding the Fourth Proportional to 114.02, 171.06 and 32.87

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Solution

The fourth proportional to 114.02, 171.06 and 32.87 is: 49.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 171.06 = 32.87 : x
  2. Step 2: Convert to fraction form
    114.02/171.06 = 32.87/x
  3. Step 3: Cross multiply
    114.02x = 171.06 × 32.87
  4. Step 4: Simplify right side
    114.02x = 5,621.72
  5. Step 5: Solve for x
    x = 5,621.72/114.02
  6. Step 6: Final answer
    x = 49.30

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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.