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Finding the Fourth Proportional to 114.83, 172.37 and 106.32

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Solution

The fourth proportional to 114.83, 172.37 and 106.32 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 172.37 = 106.32 : x
  2. Step 2: Convert to fraction form
    114.83/172.37 = 106.32/x
  3. Step 3: Cross multiply
    114.83x = 172.37 × 106.32
  4. Step 4: Simplify right side
    114.83x = 18,326.64
  5. Step 5: Solve for x
    x = 18,326.64/114.83
  6. Step 6: Final answer
    x = 159.61

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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.