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Finding the Fourth Proportional to 125.52, 173.23 and 73.77

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Solution

The fourth proportional to 125.52, 173.23 and 73.77 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.52 : 173.23 = 73.77 : x
  2. Step 2: Convert to fraction form
    125.52/173.23 = 73.77/x
  3. Step 3: Cross multiply
    125.52x = 173.23 × 73.77
  4. Step 4: Simplify right side
    125.52x = 12,779.18
  5. Step 5: Solve for x
    x = 12,779.18/125.52
  6. Step 6: Final answer
    x = 101.81

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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.