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Finding the Fourth Proportional to 106.48, 146.82 and 71.49

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Solution

The fourth proportional to 106.48, 146.82 and 71.49 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 146.82 = 71.49 : x
  2. Step 2: Convert to fraction form
    106.48/146.82 = 71.49/x
  3. Step 3: Cross multiply
    106.48x = 146.82 × 71.49
  4. Step 4: Simplify right side
    106.48x = 10,496.16
  5. Step 5: Solve for x
    x = 10,496.16/106.48
  6. Step 6: Final answer
    x = 98.57

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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.