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Finding the Fourth Proportional to 106.14, 146.46 and 64.74

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Solution

The fourth proportional to 106.14, 146.46 and 64.74 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 146.46 = 64.74 : x
  2. Step 2: Convert to fraction form
    106.14/146.46 = 64.74/x
  3. Step 3: Cross multiply
    106.14x = 146.46 × 64.74
  4. Step 4: Simplify right side
    106.14x = 9,481.82
  5. Step 5: Solve for x
    x = 9,481.82/106.14
  6. Step 6: Final answer
    x = 89.33

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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.