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Finding the Fourth Proportional to 125.16, 187.67 and 73.82

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Solution

The fourth proportional to 125.16, 187.67 and 73.82 is: 110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 187.67 = 73.82 : x
  2. Step 2: Convert to fraction form
    125.16/187.67 = 73.82/x
  3. Step 3: Cross multiply
    125.16x = 187.67 × 73.82
  4. Step 4: Simplify right side
    125.16x = 13,852.86
  5. Step 5: Solve for x
    x = 13,852.86/125.16
  6. Step 6: Final answer
    x = 110.68

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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.