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Finding the Fourth Proportional to 106.09, 146.37 and 64.66

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Solution

The fourth proportional to 106.09, 146.37 and 64.66 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 146.37 = 64.66 : x
  2. Step 2: Convert to fraction form
    106.09/146.37 = 64.66/x
  3. Step 3: Cross multiply
    106.09x = 146.37 × 64.66
  4. Step 4: Simplify right side
    106.09x = 9,464.28
  5. Step 5: Solve for x
    x = 9,464.28/106.09
  6. Step 6: Final answer
    x = 89.21

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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.