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Finding the Fourth Proportional to 106.54, 159.78 and 38.06

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Solution

The fourth proportional to 106.54, 159.78 and 38.06 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.78 = 38.06 : x
  2. Step 2: Convert to fraction form
    106.54/159.78 = 38.06/x
  3. Step 3: Cross multiply
    106.54x = 159.78 × 38.06
  4. Step 4: Simplify right side
    106.54x = 6,082.07
  5. Step 5: Solve for x
    x = 6,082.07/106.54
  6. Step 6: Final answer
    x = 57.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.