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Finding the Fourth Proportional to 106.61, 159.84 and 68.10

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Solution

The fourth proportional to 106.61, 159.84 and 68.10 is: 102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.61 : 159.84 = 68.10 : x
  2. Step 2: Convert to fraction form
    106.61/159.84 = 68.10/x
  3. Step 3: Cross multiply
    106.61x = 159.84 × 68.10
  4. Step 4: Simplify right side
    106.61x = 10,885.10
  5. Step 5: Solve for x
    x = 10,885.10/106.61
  6. Step 6: Final answer
    x = 102.11

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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.