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Finding the Fourth Proportional to 106.68, 146.88 and 102.36

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Solution

The fourth proportional to 106.68, 146.88 and 102.36 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.68 : 146.88 = 102.36 : x
  2. Step 2: Convert to fraction form
    106.68/146.88 = 102.36/x
  3. Step 3: Cross multiply
    106.68x = 146.88 × 102.36
  4. Step 4: Simplify right side
    106.68x = 15,034.64
  5. Step 5: Solve for x
    x = 15,034.64/106.68
  6. Step 6: Final answer
    x = 140.93

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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.