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Finding the Fourth Proportional to 101.60, 140.64 and 92.96

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Solution

The fourth proportional to 101.60, 140.64 and 92.96 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 140.64 = 92.96 : x
  2. Step 2: Convert to fraction form
    101.60/140.64 = 92.96/x
  3. Step 3: Cross multiply
    101.60x = 140.64 × 92.96
  4. Step 4: Simplify right side
    101.60x = 13,073.89
  5. Step 5: Solve for x
    x = 13,073.89/101.60
  6. Step 6: Final answer
    x = 128.68

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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.