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Finding the Fourth Proportional to 106.30, 159.34 and 37.81

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Solution

The fourth proportional to 106.30, 159.34 and 37.81 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 159.34 = 37.81 : x
  2. Step 2: Convert to fraction form
    106.30/159.34 = 37.81/x
  3. Step 3: Cross multiply
    106.30x = 159.34 × 37.81
  4. Step 4: Simplify right side
    106.30x = 6,024.65
  5. Step 5: Solve for x
    x = 6,024.65/106.30
  6. Step 6: Final answer
    x = 56.68

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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.