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Finding the Fourth Proportional to 103.63, 142.91 and 66.77

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Solution

The fourth proportional to 103.63, 142.91 and 66.77 is: 92.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 142.91 = 66.77 : x
  2. Step 2: Convert to fraction form
    103.63/142.91 = 66.77/x
  3. Step 3: Cross multiply
    103.63x = 142.91 × 66.77
  4. Step 4: Simplify right side
    103.63x = 9,543.02
  5. Step 5: Solve for x
    x = 9,543.02/103.63
  6. Step 6: Final answer
    x = 92.09

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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.