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Finding the Fourth Proportional to 106.34, 147.76 and 105.21

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Solution

The fourth proportional to 106.34, 147.76 and 105.21 is: 146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 147.76 = 105.21 : x
  2. Step 2: Convert to fraction form
    106.34/147.76 = 105.21/x
  3. Step 3: Cross multiply
    106.34x = 147.76 × 105.21
  4. Step 4: Simplify right side
    106.34x = 15,545.57
  5. Step 5: Solve for x
    x = 15,545.57/106.34
  6. Step 6: Final answer
    x = 146.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.