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Finding the Fourth Proportional to 106.36, 159.57 and 42.28

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Solution

The fourth proportional to 106.36, 159.57 and 42.28 is: 63.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 159.57 = 42.28 : x
  2. Step 2: Convert to fraction form
    106.36/159.57 = 42.28/x
  3. Step 3: Cross multiply
    106.36x = 159.57 × 42.28
  4. Step 4: Simplify right side
    106.36x = 6,746.62
  5. Step 5: Solve for x
    x = 6,746.62/106.36
  6. Step 6: Final answer
    x = 63.43

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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.