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Finding the Fourth Proportional to 106.47, 159.57 and 77.58

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Solution

The fourth proportional to 106.47, 159.57 and 77.58 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.57 = 77.58 : x
  2. Step 2: Convert to fraction form
    106.47/159.57 = 77.58/x
  3. Step 3: Cross multiply
    106.47x = 159.57 × 77.58
  4. Step 4: Simplify right side
    106.47x = 12,379.44
  5. Step 5: Solve for x
    x = 12,379.44/106.47
  6. Step 6: Final answer
    x = 116.27

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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.