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Finding the Fourth Proportional to 106.33, 146.75 and 59.71

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Solution

The fourth proportional to 106.33, 146.75 and 59.71 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.33 : 146.75 = 59.71 : x
  2. Step 2: Convert to fraction form
    106.33/146.75 = 59.71/x
  3. Step 3: Cross multiply
    106.33x = 146.75 × 59.71
  4. Step 4: Simplify right side
    106.33x = 8,762.51
  5. Step 5: Solve for x
    x = 8,762.51/106.33
  6. Step 6: Final answer
    x = 82.41

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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.