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Finding the Fourth Proportional to 106.47, 159.36 and 67.82

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Solution

The fourth proportional to 106.47, 159.36 and 67.82 is: 101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.36 = 67.82 : x
  2. Step 2: Convert to fraction form
    106.47/159.36 = 67.82/x
  3. Step 3: Cross multiply
    106.47x = 159.36 × 67.82
  4. Step 4: Simplify right side
    106.47x = 10,807.00
  5. Step 5: Solve for x
    x = 10,807.00/106.47
  6. Step 6: Final answer
    x = 101.50

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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.