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Finding the Fourth Proportional to 106.09, 146.38 and 64.64

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Solution

The fourth proportional to 106.09, 146.38 and 64.64 is: 89.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 146.38 = 64.64 : x
  2. Step 2: Convert to fraction form
    106.09/146.38 = 64.64/x
  3. Step 3: Cross multiply
    106.09x = 146.38 × 64.64
  4. Step 4: Simplify right side
    106.09x = 9,462.00
  5. Step 5: Solve for x
    x = 9,462.00/106.09
  6. Step 6: Final answer
    x = 89.19

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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.