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Finding the Fourth Proportional to 101.53, 140.06 and 85.15

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Solution

The fourth proportional to 101.53, 140.06 and 85.15 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.53 : 140.06 = 85.15 : x
  2. Step 2: Convert to fraction form
    101.53/140.06 = 85.15/x
  3. Step 3: Cross multiply
    101.53x = 140.06 × 85.15
  4. Step 4: Simplify right side
    101.53x = 11,924.98
  5. Step 5: Solve for x
    x = 11,924.98/101.53
  6. Step 6: Final answer
    x = 117.46

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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.