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Finding the Fourth Proportional to 109.87, 164.58 and 64.02

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Solution

The fourth proportional to 109.87, 164.58 and 64.02 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.87 : 164.58 = 64.02 : x
  2. Step 2: Convert to fraction form
    109.87/164.58 = 64.02/x
  3. Step 3: Cross multiply
    109.87x = 164.58 × 64.02
  4. Step 4: Simplify right side
    109.87x = 10,536.41
  5. Step 5: Solve for x
    x = 10,536.41/109.87
  6. Step 6: Final answer
    x = 95.90

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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.