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Finding the Fourth Proportional to 125.32, 172.89 and 83.83

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Solution

The fourth proportional to 125.32, 172.89 and 83.83 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.32 : 172.89 = 83.83 : x
  2. Step 2: Convert to fraction form
    125.32/172.89 = 83.83/x
  3. Step 3: Cross multiply
    125.32x = 172.89 × 83.83
  4. Step 4: Simplify right side
    125.32x = 14,492.94
  5. Step 5: Solve for x
    x = 14,492.94/125.32
  6. Step 6: Final answer
    x = 115.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.