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Finding the Fourth Proportional to 106.09, 146.40 and 66.76

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Solution

The fourth proportional to 106.09, 146.40 and 66.76 is: 92.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 146.40 = 66.76 : x
  2. Step 2: Convert to fraction form
    106.09/146.40 = 66.76/x
  3. Step 3: Cross multiply
    106.09x = 146.40 × 66.76
  4. Step 4: Simplify right side
    106.09x = 9,773.66
  5. Step 5: Solve for x
    x = 9,773.66/106.09
  6. Step 6: Final answer
    x = 92.13

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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.