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Finding the Fourth Proportional to 101.32, 140.07 and 97.05

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Solution

The fourth proportional to 101.32, 140.07 and 97.05 is: 134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.32 : 140.07 = 97.05 : x
  2. Step 2: Convert to fraction form
    101.32/140.07 = 97.05/x
  3. Step 3: Cross multiply
    101.32x = 140.07 × 97.05
  4. Step 4: Simplify right side
    101.32x = 13,593.79
  5. Step 5: Solve for x
    x = 13,593.79/101.32
  6. Step 6: Final answer
    x = 134.17

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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.