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Finding the Fourth Proportional to 145.64, 217.98 and 109.32

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Solution

The fourth proportional to 145.64, 217.98 and 109.32 is: 163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.64 : 217.98 = 109.32 : x
  2. Step 2: Convert to fraction form
    145.64/217.98 = 109.32/x
  3. Step 3: Cross multiply
    145.64x = 217.98 × 109.32
  4. Step 4: Simplify right side
    145.64x = 23,829.57
  5. Step 5: Solve for x
    x = 23,829.57/145.64
  6. Step 6: Final answer
    x = 163.62

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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.