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Finding the Fourth Proportional to 106.32, 159.64 and 42.32

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Solution

The fourth proportional to 106.32, 159.64 and 42.32 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 159.64 = 42.32 : x
  2. Step 2: Convert to fraction form
    106.32/159.64 = 42.32/x
  3. Step 3: Cross multiply
    106.32x = 159.64 × 42.32
  4. Step 4: Simplify right side
    106.32x = 6,755.96
  5. Step 5: Solve for x
    x = 6,755.96/106.32
  6. Step 6: Final answer
    x = 63.54

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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.