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Finding the Fourth Proportional to 106.90, 160.55 and 76.52

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Solution

The fourth proportional to 106.90, 160.55 and 76.52 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 160.55 = 76.52 : x
  2. Step 2: Convert to fraction form
    106.90/160.55 = 76.52/x
  3. Step 3: Cross multiply
    106.90x = 160.55 × 76.52
  4. Step 4: Simplify right side
    106.90x = 12,285.29
  5. Step 5: Solve for x
    x = 12,285.29/106.90
  6. Step 6: Final answer
    x = 114.92

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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.