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Finding the Fourth Proportional to 131.93, 182.06 and 73.72

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Solution

The fourth proportional to 131.93, 182.06 and 73.72 is: 101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.93 : 182.06 = 73.72 : x
  2. Step 2: Convert to fraction form
    131.93/182.06 = 73.72/x
  3. Step 3: Cross multiply
    131.93x = 182.06 × 73.72
  4. Step 4: Simplify right side
    131.93x = 13,421.19
  5. Step 5: Solve for x
    x = 13,421.19/131.93
  6. Step 6: Final answer
    x = 101.73

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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.