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Finding the Fourth Proportional to 106, 146.04 and 73.16

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Solution

The fourth proportional to 106, 146.04 and 73.16 is: 100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 146.04 = 73.16 : x
  2. Step 2: Convert to fraction form
    106/146.04 = 73.16/x
  3. Step 3: Cross multiply
    106x = 146.04 × 73.16
  4. Step 4: Simplify right side
    106x = 10,684.29
  5. Step 5: Solve for x
    x = 10,684.29/106
  6. Step 6: Final answer
    x = 100.80

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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.