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Finding the Fourth Proportional to 114.64, 171.72 and 106.72

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Solution

The fourth proportional to 114.64, 171.72 and 106.72 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 171.72 = 106.72 : x
  2. Step 2: Convert to fraction form
    114.64/171.72 = 106.72/x
  3. Step 3: Cross multiply
    114.64x = 171.72 × 106.72
  4. Step 4: Simplify right side
    114.64x = 18,325.96
  5. Step 5: Solve for x
    x = 18,325.96/114.64
  6. Step 6: Final answer
    x = 159.86

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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.