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Finding the Fourth Proportional to 114.74, 172.17 and 106.32

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Solution

The fourth proportional to 114.74, 172.17 and 106.32 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.74 : 172.17 = 106.32 : x
  2. Step 2: Convert to fraction form
    114.74/172.17 = 106.32/x
  3. Step 3: Cross multiply
    114.74x = 172.17 × 106.32
  4. Step 4: Simplify right side
    114.74x = 18,305.11
  5. Step 5: Solve for x
    x = 18,305.11/114.74
  6. Step 6: Final answer
    x = 159.54

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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.