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Finding the Fourth Proportional to 106.65, 147.18 and 75.57

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Solution

The fourth proportional to 106.65, 147.18 and 75.57 is: 104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 147.18 = 75.57 : x
  2. Step 2: Convert to fraction form
    106.65/147.18 = 75.57/x
  3. Step 3: Cross multiply
    106.65x = 147.18 × 75.57
  4. Step 4: Simplify right side
    106.65x = 11,122.39
  5. Step 5: Solve for x
    x = 11,122.39/106.65
  6. Step 6: Final answer
    x = 104.29

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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.