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Finding the Fourth Proportional to 106.41, 146.89 and 71.45

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Solution

The fourth proportional to 106.41, 146.89 and 71.45 is: 98.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.41 : 146.89 = 71.45 : x
  2. Step 2: Convert to fraction form
    106.41/146.89 = 71.45/x
  3. Step 3: Cross multiply
    106.41x = 146.89 × 71.45
  4. Step 4: Simplify right side
    106.41x = 10,495.29
  5. Step 5: Solve for x
    x = 10,495.29/106.41
  6. Step 6: Final answer
    x = 98.63

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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.