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Finding the Fourth Proportional to 106.54, 159.49 and 65.83

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Solution

The fourth proportional to 106.54, 159.49 and 65.83 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.49 = 65.83 : x
  2. Step 2: Convert to fraction form
    106.54/159.49 = 65.83/x
  3. Step 3: Cross multiply
    106.54x = 159.49 × 65.83
  4. Step 4: Simplify right side
    106.54x = 10,498.26
  5. Step 5: Solve for x
    x = 10,498.26/106.54
  6. Step 6: Final answer
    x = 98.54

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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.