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Finding the Fourth Proportional to 106.84, 160.12 and 52.03

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Solution

The fourth proportional to 106.84, 160.12 and 52.03 is: 77.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 160.12 = 52.03 : x
  2. Step 2: Convert to fraction form
    106.84/160.12 = 52.03/x
  3. Step 3: Cross multiply
    106.84x = 160.12 × 52.03
  4. Step 4: Simplify right side
    106.84x = 8,331.04
  5. Step 5: Solve for x
    x = 8,331.04/106.84
  6. Step 6: Final answer
    x = 77.98

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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.