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Finding the Fourth Proportional to 106.52, 159.77 and 102.06

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Solution

The fourth proportional to 106.52, 159.77 and 102.06 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 159.77 = 102.06 : x
  2. Step 2: Convert to fraction form
    106.52/159.77 = 102.06/x
  3. Step 3: Cross multiply
    106.52x = 159.77 × 102.06
  4. Step 4: Simplify right side
    106.52x = 16,306.38
  5. Step 5: Solve for x
    x = 16,306.38/106.52
  6. Step 6: Final answer
    x = 153.09

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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.