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Finding the Fourth Proportional to 101.71, 140.29 and 70.66

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Solution

The fourth proportional to 101.71, 140.29 and 70.66 is: 97.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 140.29 = 70.66 : x
  2. Step 2: Convert to fraction form
    101.71/140.29 = 70.66/x
  3. Step 3: Cross multiply
    101.71x = 140.29 × 70.66
  4. Step 4: Simplify right side
    101.71x = 9,912.89
  5. Step 5: Solve for x
    x = 9,912.89/101.71
  6. Step 6: Final answer
    x = 97.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.