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Finding the Fourth Proportional to 101.07, 150.91 and 85.88

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Solution

The fourth proportional to 101.07, 150.91 and 85.88 is: 128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.07 : 150.91 = 85.88 : x
  2. Step 2: Convert to fraction form
    101.07/150.91 = 85.88/x
  3. Step 3: Cross multiply
    101.07x = 150.91 × 85.88
  4. Step 4: Simplify right side
    101.07x = 12,960.31
  5. Step 5: Solve for x
    x = 12,960.31/101.07
  6. Step 6: Final answer
    x = 128.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.