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Finding the Fourth Proportional to 84.74, 126.93 and 73.26

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Solution

The fourth proportional to 84.74, 126.93 and 73.26 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 126.93 = 73.26 : x
  2. Step 2: Convert to fraction form
    84.74/126.93 = 73.26/x
  3. Step 3: Cross multiply
    84.74x = 126.93 × 73.26
  4. Step 4: Simplify right side
    84.74x = 9,298.89
  5. Step 5: Solve for x
    x = 9,298.89/84.74
  6. Step 6: Final answer
    x = 109.74

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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.