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Finding the Fourth Proportional to 106.90, 147.44 and 75.82

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Solution

The fourth proportional to 106.90, 147.44 and 75.82 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 147.44 = 75.82 : x
  2. Step 2: Convert to fraction form
    106.90/147.44 = 75.82/x
  3. Step 3: Cross multiply
    106.90x = 147.44 × 75.82
  4. Step 4: Simplify right side
    106.90x = 11,178.90
  5. Step 5: Solve for x
    x = 11,178.90/106.90
  6. Step 6: Final answer
    x = 104.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.