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Finding the Fourth Proportional to 106.01, 158.63 and 64.73

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Solution

The fourth proportional to 106.01, 158.63 and 64.73 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.01 : 158.63 = 64.73 : x
  2. Step 2: Convert to fraction form
    106.01/158.63 = 64.73/x
  3. Step 3: Cross multiply
    106.01x = 158.63 × 64.73
  4. Step 4: Simplify right side
    106.01x = 10,268.12
  5. Step 5: Solve for x
    x = 10,268.12/106.01
  6. Step 6: Final answer
    x = 96.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.