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Finding the Fourth Proportional to 106.43, 159.65 and 45.52

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Solution

The fourth proportional to 106.43, 159.65 and 45.52 is: 68.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.43 : 159.65 = 45.52 : x
  2. Step 2: Convert to fraction form
    106.43/159.65 = 45.52/x
  3. Step 3: Cross multiply
    106.43x = 159.65 × 45.52
  4. Step 4: Simplify right side
    106.43x = 7,267.27
  5. Step 5: Solve for x
    x = 7,267.27/106.43
  6. Step 6: Final answer
    x = 68.28

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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.