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Finding the Fourth Proportional to 101.66, 140.32 and 91.28

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Solution

The fourth proportional to 101.66, 140.32 and 91.28 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 140.32 = 91.28 : x
  2. Step 2: Convert to fraction form
    101.66/140.32 = 91.28/x
  3. Step 3: Cross multiply
    101.66x = 140.32 × 91.28
  4. Step 4: Simplify right side
    101.66x = 12,808.48
  5. Step 5: Solve for x
    x = 12,808.48/101.66
  6. Step 6: Final answer
    x = 125.99

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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.